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Finding the Fourth Proportional to 14,132.88, 19,507.68 and 8,824.32

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Solution

The fourth proportional to 14,132.88, 19,507.68 and 8,824.32 is: 12,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.88 : 19,507.68 = 8,824.32 : x
  2. Step 2: Convert to fraction form
    14,132.88/19,507.68 = 8,824.32/x
  3. Step 3: Cross multiply
    14,132.88x = 19,507.68 × 8,824.32
  4. Step 4: Simplify right side
    14,132.88x = 172,142,010.78
  5. Step 5: Solve for x
    x = 172,142,010.78/14,132.88
  6. Step 6: Final answer
    x = 12,180.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.