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Finding the Fourth Proportional to 16,507.47, 24,729.51 and 13,182.31

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Solution

The fourth proportional to 16,507.47, 24,729.51 and 13,182.31 is: 19,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.47 : 24,729.51 = 13,182.31 : x
  2. Step 2: Convert to fraction form
    16,507.47/24,729.51 = 13,182.31/x
  3. Step 3: Cross multiply
    16,507.47x = 24,729.51 × 13,182.31
  4. Step 4: Simplify right side
    16,507.47x = 325,992,066.97
  5. Step 5: Solve for x
    x = 325,992,066.97/16,507.47
  6. Step 6: Final answer
    x = 19,748.15

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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.