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Finding the Fourth Proportional to 16,461.60, 24,694.80 and 5,368.80

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Solution

The fourth proportional to 16,461.60, 24,694.80 and 5,368.80 is: 8,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.60 : 24,694.80 = 5,368.80 : x
  2. Step 2: Convert to fraction form
    16,461.60/24,694.80 = 5,368.80/x
  3. Step 3: Cross multiply
    16,461.60x = 24,694.80 × 5,368.80
  4. Step 4: Simplify right side
    16,461.60x = 132,581,442.24
  5. Step 5: Solve for x
    x = 132,581,442.24/16,461.60
  6. Step 6: Final answer
    x = 8,053.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.