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Finding the Fourth Proportional to 14,380.14, 21,572.10 and 5,020.32

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Solution

The fourth proportional to 14,380.14, 21,572.10 and 5,020.32 is: 7,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.14 : 21,572.10 = 5,020.32 : x
  2. Step 2: Convert to fraction form
    14,380.14/21,572.10 = 5,020.32/x
  3. Step 3: Cross multiply
    14,380.14x = 21,572.10 × 5,020.32
  4. Step 4: Simplify right side
    14,380.14x = 108,298,845.07
  5. Step 5: Solve for x
    x = 108,298,845.07/14,380.14
  6. Step 6: Final answer
    x = 7,531.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.