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Finding the Fourth Proportional to 28,309.86, 42,465.20 and 10,780.66

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Solution

The fourth proportional to 28,309.86, 42,465.20 and 10,780.66 is: 16,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,309.86 : 42,465.20 = 10,780.66 : x
  2. Step 2: Convert to fraction form
    28,309.86/42,465.20 = 10,780.66/x
  3. Step 3: Cross multiply
    28,309.86x = 42,465.20 × 10,780.66
  4. Step 4: Simplify right side
    28,309.86x = 457,802,883.03
  5. Step 5: Solve for x
    x = 457,802,883.03/28,309.86
  6. Step 6: Final answer
    x = 16,171.15

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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.