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Finding the Fourth Proportional to 17,897.16, 24,695.73 and 9,937.83

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Solution

The fourth proportional to 17,897.16, 24,695.73 and 9,937.83 is: 13,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.16 : 24,695.73 = 9,937.83 : x
  2. Step 2: Convert to fraction form
    17,897.16/24,695.73 = 9,937.83/x
  3. Step 3: Cross multiply
    17,897.16x = 24,695.73 × 9,937.83
  4. Step 4: Simplify right side
    17,897.16x = 245,421,966.47
  5. Step 5: Solve for x
    x = 245,421,966.47/17,897.16
  6. Step 6: Final answer
    x = 13,712.90

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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.