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Finding the Fourth Proportional to 10,142.76, 14,006.67 and 9,590.58

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Solution

The fourth proportional to 10,142.76, 14,006.67 and 9,590.58 is: 13,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.76 : 14,006.67 = 9,590.58 : x
  2. Step 2: Convert to fraction form
    10,142.76/14,006.67 = 9,590.58/x
  3. Step 3: Cross multiply
    10,142.76x = 14,006.67 × 9,590.58
  4. Step 4: Simplify right side
    10,142.76x = 134,332,089.17
  5. Step 5: Solve for x
    x = 134,332,089.17/10,142.76
  6. Step 6: Final answer
    x = 13,244.14

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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.