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Finding the Fourth Proportional to 17,857.34, 24,641.47 and 9,898.89

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Solution

The fourth proportional to 17,857.34, 24,641.47 and 9,898.89 is: 13,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.34 : 24,641.47 = 9,898.89 : x
  2. Step 2: Convert to fraction form
    17,857.34/24,641.47 = 9,898.89/x
  3. Step 3: Cross multiply
    17,857.34x = 24,641.47 × 9,898.89
  4. Step 4: Simplify right side
    17,857.34x = 243,923,200.97
  5. Step 5: Solve for x
    x = 243,923,200.97/17,857.34
  6. Step 6: Final answer
    x = 13,659.55

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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.