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Finding the Fourth Proportional to 14,814.52, 22,232.68 and 7,023.32

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Solution

The fourth proportional to 14,814.52, 22,232.68 and 7,023.32 is: 10,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.52 : 22,232.68 = 7,023.32 : x
  2. Step 2: Convert to fraction form
    14,814.52/22,232.68 = 7,023.32/x
  3. Step 3: Cross multiply
    14,814.52x = 22,232.68 × 7,023.32
  4. Step 4: Simplify right side
    14,814.52x = 156,147,226.10
  5. Step 5: Solve for x
    x = 156,147,226.10/14,814.52
  6. Step 6: Final answer
    x = 10,540.15

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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.