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Finding the Fourth Proportional to 17,753.65, 24,500.68 and 10,200.20

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Solution

The fourth proportional to 17,753.65, 24,500.68 and 10,200.20 is: 14,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.65 : 24,500.68 = 10,200.20 : x
  2. Step 2: Convert to fraction form
    17,753.65/24,500.68 = 10,200.20/x
  3. Step 3: Cross multiply
    17,753.65x = 24,500.68 × 10,200.20
  4. Step 4: Simplify right side
    17,753.65x = 249,911,688.13
  5. Step 5: Solve for x
    x = 249,911,688.13/17,753.65
  6. Step 6: Final answer
    x = 14,076.64

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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.