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Finding the Fourth Proportional to 17,763.84, 24,509.61 and 10,212.30

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Solution

The fourth proportional to 17,763.84, 24,509.61 and 10,212.30 is: 14,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.84 : 24,509.61 = 10,212.30 : x
  2. Step 2: Convert to fraction form
    17,763.84/24,509.61 = 10,212.30/x
  3. Step 3: Cross multiply
    17,763.84x = 24,509.61 × 10,212.30
  4. Step 4: Simplify right side
    17,763.84x = 250,299,490.20
  5. Step 5: Solve for x
    x = 250,299,490.20/17,763.84
  6. Step 6: Final answer
    x = 14,090.39

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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.