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Finding the Fourth Proportional to 28,102.86, 42,149.70 and 9,382.14

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Solution

The fourth proportional to 28,102.86, 42,149.70 and 9,382.14 is: 14,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.86 : 42,149.70 = 9,382.14 : x
  2. Step 2: Convert to fraction form
    28,102.86/42,149.70 = 9,382.14/x
  3. Step 3: Cross multiply
    28,102.86x = 42,149.70 × 9,382.14
  4. Step 4: Simplify right side
    28,102.86x = 395,454,386.36
  5. Step 5: Solve for x
    x = 395,454,386.36/28,102.86
  6. Step 6: Final answer
    x = 14,071.68

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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.