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Finding the Fourth Proportional to 14,632.80, 21,916.80 and 5,863.20

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Solution

The fourth proportional to 14,632.80, 21,916.80 and 5,863.20 is: 8,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.80 : 21,916.80 = 5,863.20 : x
  2. Step 2: Convert to fraction form
    14,632.80/21,916.80 = 5,863.20/x
  3. Step 3: Cross multiply
    14,632.80x = 21,916.80 × 5,863.20
  4. Step 4: Simplify right side
    14,632.80x = 128,502,581.76
  5. Step 5: Solve for x
    x = 128,502,581.76/14,632.80
  6. Step 6: Final answer
    x = 8,781.82

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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.