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Finding the Fourth Proportional to 16,182.40, 24,259.20 and 9,601.60

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Solution

The fourth proportional to 16,182.40, 24,259.20 and 9,601.60 is: 14,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.40 : 24,259.20 = 9,601.60 : x
  2. Step 2: Convert to fraction form
    16,182.40/24,259.20 = 9,601.60/x
  3. Step 3: Cross multiply
    16,182.40x = 24,259.20 × 9,601.60
  4. Step 4: Simplify right side
    16,182.40x = 232,927,134.72
  5. Step 5: Solve for x
    x = 232,927,134.72/16,182.40
  6. Step 6: Final answer
    x = 14,393.86

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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.