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Finding the Fourth Proportional to 17,542.17, 24,208.22 and 9,988.50

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Solution

The fourth proportional to 17,542.17, 24,208.22 and 9,988.50 is: 13,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.17 : 24,208.22 = 9,988.50 : x
  2. Step 2: Convert to fraction form
    17,542.17/24,208.22 = 9,988.50/x
  3. Step 3: Cross multiply
    17,542.17x = 24,208.22 × 9,988.50
  4. Step 4: Simplify right side
    17,542.17x = 241,803,865.04
  5. Step 5: Solve for x
    x = 241,803,865.04/17,542.17
  6. Step 6: Final answer
    x = 13,784.15

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