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Finding the Fourth Proportional to 16,458.60, 24,689.52 and 6,069

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Solution

The fourth proportional to 16,458.60, 24,689.52 and 6,069 is: 9,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.60 : 24,689.52 = 6,069 : x
  2. Step 2: Convert to fraction form
    16,458.60/24,689.52 = 6,069/x
  3. Step 3: Cross multiply
    16,458.60x = 24,689.52 × 6,069
  4. Step 4: Simplify right side
    16,458.60x = 149,840,696.88
  5. Step 5: Solve for x
    x = 149,840,696.88/16,458.60
  6. Step 6: Final answer
    x = 9,104.10

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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.