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Finding the Fourth Proportional to 16,458.69, 22,689.36 and 11,734.77

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Solution

The fourth proportional to 16,458.69, 22,689.36 and 11,734.77 is: 16,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.69 : 22,689.36 = 11,734.77 : x
  2. Step 2: Convert to fraction form
    16,458.69/22,689.36 = 11,734.77/x
  3. Step 3: Cross multiply
    16,458.69x = 22,689.36 × 11,734.77
  4. Step 4: Simplify right side
    16,458.69x = 266,254,421.05
  5. Step 5: Solve for x
    x = 266,254,421.05/16,458.69
  6. Step 6: Final answer
    x = 16,177.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.