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Finding the Fourth Proportional to 14,572.68, 21,859.20 and 4,711.20

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Solution

The fourth proportional to 14,572.68, 21,859.20 and 4,711.20 is: 7,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.68 : 21,859.20 = 4,711.20 : x
  2. Step 2: Convert to fraction form
    14,572.68/21,859.20 = 4,711.20/x
  3. Step 3: Cross multiply
    14,572.68x = 21,859.20 × 4,711.20
  4. Step 4: Simplify right side
    14,572.68x = 102,983,063.04
  5. Step 5: Solve for x
    x = 102,983,063.04/14,572.68
  6. Step 6: Final answer
    x = 7,066.86

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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.