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Finding the Fourth Proportional to 22,677.72, 34,038.12 and 13,929.72

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Solution

The fourth proportional to 22,677.72, 34,038.12 and 13,929.72 is: 20,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.72 : 34,038.12 = 13,929.72 : x
  2. Step 2: Convert to fraction form
    22,677.72/34,038.12 = 13,929.72/x
  3. Step 3: Cross multiply
    22,677.72x = 34,038.12 × 13,929.72
  4. Step 4: Simplify right side
    22,677.72x = 474,141,480.93
  5. Step 5: Solve for x
    x = 474,141,480.93/22,677.72
  6. Step 6: Final answer
    x = 20,907.81

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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.