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Finding the Fourth Proportional to 17,404.48, 24,017.76 and 9,952

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Solution

The fourth proportional to 17,404.48, 24,017.76 and 9,952 is: 13,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404.48 : 24,017.76 = 9,952 : x
  2. Step 2: Convert to fraction form
    17,404.48/24,017.76 = 9,952/x
  3. Step 3: Cross multiply
    17,404.48x = 24,017.76 × 9,952
  4. Step 4: Simplify right side
    17,404.48x = 239,024,747.52
  5. Step 5: Solve for x
    x = 239,024,747.52/17,404.48
  6. Step 6: Final answer
    x = 13,733.52

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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.