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Finding the Fourth Proportional to 14,916.92, 22,360.78 and 6,159.20

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Solution

The fourth proportional to 14,916.92, 22,360.78 and 6,159.20 is: 9,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.92 : 22,360.78 = 6,159.20 : x
  2. Step 2: Convert to fraction form
    14,916.92/22,360.78 = 6,159.20/x
  3. Step 3: Cross multiply
    14,916.92x = 22,360.78 × 6,159.20
  4. Step 4: Simplify right side
    14,916.92x = 137,724,516.18
  5. Step 5: Solve for x
    x = 137,724,516.18/14,916.92
  6. Step 6: Final answer
    x = 9,232.77

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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.