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Finding the Fourth Proportional to 12,854.44, 17,737.14 and 7,548.76

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Solution

The fourth proportional to 12,854.44, 17,737.14 and 7,548.76 is: 10,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.44 : 17,737.14 = 7,548.76 : x
  2. Step 2: Convert to fraction form
    12,854.44/17,737.14 = 7,548.76/x
  3. Step 3: Cross multiply
    12,854.44x = 17,737.14 × 7,548.76
  4. Step 4: Simplify right side
    12,854.44x = 133,893,412.95
  5. Step 5: Solve for x
    x = 133,893,412.95/12,854.44
  6. Step 6: Final answer
    x = 10,416.12

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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.