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Finding the Fourth Proportional to 22,897.36, 34,346.04 and 8,102.71

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Solution

The fourth proportional to 22,897.36, 34,346.04 and 8,102.71 is: 12,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.36 : 34,346.04 = 8,102.71 : x
  2. Step 2: Convert to fraction form
    22,897.36/34,346.04 = 8,102.71/x
  3. Step 3: Cross multiply
    22,897.36x = 34,346.04 × 8,102.71
  4. Step 4: Simplify right side
    22,897.36x = 278,296,001.77
  5. Step 5: Solve for x
    x = 278,296,001.77/22,897.36
  6. Step 6: Final answer
    x = 12,154.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.