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Finding the Fourth Proportional to 16,460.33, 24,677.53 and 7,686.41

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Solution

The fourth proportional to 16,460.33, 24,677.53 and 7,686.41 is: 11,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.33 : 24,677.53 = 7,686.41 : x
  2. Step 2: Convert to fraction form
    16,460.33/24,677.53 = 7,686.41/x
  3. Step 3: Cross multiply
    16,460.33x = 24,677.53 × 7,686.41
  4. Step 4: Simplify right side
    16,460.33x = 189,681,470.76
  5. Step 5: Solve for x
    x = 189,681,470.76/16,460.33
  6. Step 6: Final answer
    x = 11,523.56

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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.