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Finding the Fourth Proportional to 16,238.64, 24,358.86 and 7,925.76

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Solution

The fourth proportional to 16,238.64, 24,358.86 and 7,925.76 is: 11,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.64 : 24,358.86 = 7,925.76 : x
  2. Step 2: Convert to fraction form
    16,238.64/24,358.86 = 7,925.76/x
  3. Step 3: Cross multiply
    16,238.64x = 24,358.86 × 7,925.76
  4. Step 4: Simplify right side
    16,238.64x = 193,062,478.23
  5. Step 5: Solve for x
    x = 193,062,478.23/16,238.64
  6. Step 6: Final answer
    x = 11,889.08

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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.