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Finding the Fourth Proportional to 16,142.46, 24,215.54 and 4,296.74

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Solution

The fourth proportional to 16,142.46, 24,215.54 and 4,296.74 is: 6,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.46 : 24,215.54 = 4,296.74 : x
  2. Step 2: Convert to fraction form
    16,142.46/24,215.54 = 4,296.74/x
  3. Step 3: Cross multiply
    16,142.46x = 24,215.54 × 4,296.74
  4. Step 4: Simplify right side
    16,142.46x = 104,047,736.78
  5. Step 5: Solve for x
    x = 104,047,736.78/16,142.46
  6. Step 6: Final answer
    x = 6,445.59

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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.