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Finding the Fourth Proportional to 14,147.86, 19,537.17 and 9,123.83

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Solution

The fourth proportional to 14,147.86, 19,537.17 and 9,123.83 is: 12,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.86 : 19,537.17 = 9,123.83 : x
  2. Step 2: Convert to fraction form
    14,147.86/19,537.17 = 9,123.83/x
  3. Step 3: Cross multiply
    14,147.86x = 19,537.17 × 9,123.83
  4. Step 4: Simplify right side
    14,147.86x = 178,253,817.76
  5. Step 5: Solve for x
    x = 178,253,817.76/14,147.86
  6. Step 6: Final answer
    x = 12,599.35

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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.