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Finding the Fourth Proportional to 16,103.60, 24,122.16 and 11,948.32

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Solution

The fourth proportional to 16,103.60, 24,122.16 and 11,948.32 is: 17,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.60 : 24,122.16 = 11,948.32 : x
  2. Step 2: Convert to fraction form
    16,103.60/24,122.16 = 11,948.32/x
  3. Step 3: Cross multiply
    16,103.60x = 24,122.16 × 11,948.32
  4. Step 4: Simplify right side
    16,103.60x = 288,219,286.77
  5. Step 5: Solve for x
    x = 288,219,286.77/16,103.60
  6. Step 6: Final answer
    x = 17,897.82

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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.