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Finding the Fourth Proportional to 16,024.32, 24,024.96 and 7,254.72

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Solution

The fourth proportional to 16,024.32, 24,024.96 and 7,254.72 is: 10,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.32 : 24,024.96 = 7,254.72 : x
  2. Step 2: Convert to fraction form
    16,024.32/24,024.96 = 7,254.72/x
  3. Step 3: Cross multiply
    16,024.32x = 24,024.96 × 7,254.72
  4. Step 4: Simplify right side
    16,024.32x = 174,294,357.81
  5. Step 5: Solve for x
    x = 174,294,357.81/16,024.32
  6. Step 6: Final answer
    x = 10,876.86

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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.