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Finding the Fourth Proportional to 17,752.50, 24,500.07 and 10,201.14

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Solution

The fourth proportional to 17,752.50, 24,500.07 and 10,201.14 is: 14,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.50 : 24,500.07 = 10,201.14 : x
  2. Step 2: Convert to fraction form
    17,752.50/24,500.07 = 10,201.14/x
  3. Step 3: Cross multiply
    17,752.50x = 24,500.07 × 10,201.14
  4. Step 4: Simplify right side
    17,752.50x = 249,928,644.08
  5. Step 5: Solve for x
    x = 249,928,644.08/17,752.50
  6. Step 6: Final answer
    x = 14,078.50

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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.