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Finding the Fourth Proportional to 22,916.70, 34,376.85 and 9,769.17

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Solution

The fourth proportional to 22,916.70, 34,376.85 and 9,769.17 is: 14,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916.70 : 34,376.85 = 9,769.17 : x
  2. Step 2: Convert to fraction form
    22,916.70/34,376.85 = 9,769.17/x
  3. Step 3: Cross multiply
    22,916.70x = 34,376.85 × 9,769.17
  4. Step 4: Simplify right side
    22,916.70x = 335,833,291.71
  5. Step 5: Solve for x
    x = 335,833,291.71/22,916.70
  6. Step 6: Final answer
    x = 14,654.52

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Why These Related Problems?

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