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Finding the Fourth Proportional to 16,148.47, 24,224.11 and 4,461.70

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Solution

The fourth proportional to 16,148.47, 24,224.11 and 4,461.70 is: 6,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.47 : 24,224.11 = 4,461.70 : x
  2. Step 2: Convert to fraction form
    16,148.47/24,224.11 = 4,461.70/x
  3. Step 3: Cross multiply
    16,148.47x = 24,224.11 × 4,461.70
  4. Step 4: Simplify right side
    16,148.47x = 108,080,711.59
  5. Step 5: Solve for x
    x = 108,080,711.59/16,148.47
  6. Step 6: Final answer
    x = 6,692.94

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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.