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Finding the Fourth Proportional to 17,542.94, 24,209.28 and 9,988.94

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Solution

The fourth proportional to 17,542.94, 24,209.28 and 9,988.94 is: 13,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.94 : 24,209.28 = 9,988.94 : x
  2. Step 2: Convert to fraction form
    17,542.94/24,209.28 = 9,988.94/x
  3. Step 3: Cross multiply
    17,542.94x = 24,209.28 × 9,988.94
  4. Step 4: Simplify right side
    17,542.94x = 241,825,045.36
  5. Step 5: Solve for x
    x = 241,825,045.36/17,542.94
  6. Step 6: Final answer
    x = 13,784.75

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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.