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Finding the Fourth Proportional to 12,569.34, 17,337.72 and 8,098.95

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Solution

The fourth proportional to 12,569.34, 17,337.72 and 8,098.95 is: 11,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.34 : 17,337.72 = 8,098.95 : x
  2. Step 2: Convert to fraction form
    12,569.34/17,337.72 = 8,098.95/x
  3. Step 3: Cross multiply
    12,569.34x = 17,337.72 × 8,098.95
  4. Step 4: Simplify right side
    12,569.34x = 140,417,327.39
  5. Step 5: Solve for x
    x = 140,417,327.39/12,569.34
  6. Step 6: Final answer
    x = 11,171.42

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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.