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Finding the Fourth Proportional to 14,521.20, 21,785.44 and 7,129.14

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Solution

The fourth proportional to 14,521.20, 21,785.44 and 7,129.14 is: 10,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.20 : 21,785.44 = 7,129.14 : x
  2. Step 2: Convert to fraction form
    14,521.20/21,785.44 = 7,129.14/x
  3. Step 3: Cross multiply
    14,521.20x = 21,785.44 × 7,129.14
  4. Step 4: Simplify right side
    14,521.20x = 155,311,451.72
  5. Step 5: Solve for x
    x = 155,311,451.72/14,521.20
  6. Step 6: Final answer
    x = 10,695.50

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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.