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Finding the Fourth Proportional to 17,467.50, 24,104.42 and 9,913.68

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Solution

The fourth proportional to 17,467.50, 24,104.42 and 9,913.68 is: 13,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.50 : 24,104.42 = 9,913.68 : x
  2. Step 2: Convert to fraction form
    17,467.50/24,104.42 = 9,913.68/x
  3. Step 3: Cross multiply
    17,467.50x = 24,104.42 × 9,913.68
  4. Step 4: Simplify right side
    17,467.50x = 238,963,506.47
  5. Step 5: Solve for x
    x = 238,963,506.47/17,467.50
  6. Step 6: Final answer
    x = 13,680.46

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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.