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Finding the Fourth Proportional to 16,407.63, 24,618.33 and 7,049.70

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Solution

The fourth proportional to 16,407.63, 24,618.33 and 7,049.70 is: 10,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.63 : 24,618.33 = 7,049.70 : x
  2. Step 2: Convert to fraction form
    16,407.63/24,618.33 = 7,049.70/x
  3. Step 3: Cross multiply
    16,407.63x = 24,618.33 × 7,049.70
  4. Step 4: Simplify right side
    16,407.63x = 173,551,841.00
  5. Step 5: Solve for x
    x = 173,551,841.00/16,407.63
  6. Step 6: Final answer
    x = 10,577.51

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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.