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Finding the Fourth Proportional to 22,874.13, 34,312.95 and 7,875.09

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Solution

The fourth proportional to 22,874.13, 34,312.95 and 7,875.09 is: 11,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.13 : 34,312.95 = 7,875.09 : x
  2. Step 2: Convert to fraction form
    22,874.13/34,312.95 = 7,875.09/x
  3. Step 3: Cross multiply
    22,874.13x = 34,312.95 × 7,875.09
  4. Step 4: Simplify right side
    22,874.13x = 270,217,569.42
  5. Step 5: Solve for x
    x = 270,217,569.42/22,874.13
  6. Step 6: Final answer
    x = 11,813.24

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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.