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Finding the Fourth Proportional to 17,594.84, 24,281.09 and 10,042.20

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Solution

The fourth proportional to 17,594.84, 24,281.09 and 10,042.20 is: 13,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,594.84 : 24,281.09 = 10,042.20 : x
  2. Step 2: Convert to fraction form
    17,594.84/24,281.09 = 10,042.20/x
  3. Step 3: Cross multiply
    17,594.84x = 24,281.09 × 10,042.20
  4. Step 4: Simplify right side
    17,594.84x = 243,835,511.79
  5. Step 5: Solve for x
    x = 243,835,511.79/17,594.84
  6. Step 6: Final answer
    x = 13,858.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.