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Finding the Fourth Proportional to 16,141.68, 24,211.55 and 7,254.72

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Solution

The fourth proportional to 16,141.68, 24,211.55 and 7,254.72 is: 10,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.68 : 24,211.55 = 7,254.72 : x
  2. Step 2: Convert to fraction form
    16,141.68/24,211.55 = 7,254.72/x
  3. Step 3: Cross multiply
    16,141.68x = 24,211.55 × 7,254.72
  4. Step 4: Simplify right side
    16,141.68x = 175,648,034.15
  5. Step 5: Solve for x
    x = 175,648,034.15/16,141.68
  6. Step 6: Final answer
    x = 10,881.65

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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.