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Finding the Fourth Proportional to 16,589.70, 24,848.10 and 13,309.20

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Solution

The fourth proportional to 16,589.70, 24,848.10 and 13,309.20 is: 19,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.70 : 24,848.10 = 13,309.20 : x
  2. Step 2: Convert to fraction form
    16,589.70/24,848.10 = 13,309.20/x
  3. Step 3: Cross multiply
    16,589.70x = 24,848.10 × 13,309.20
  4. Step 4: Simplify right side
    16,589.70x = 330,708,332.52
  5. Step 5: Solve for x
    x = 330,708,332.52/16,589.70
  6. Step 6: Final answer
    x = 19,934.56

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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.