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Finding the Fourth Proportional to 28,342, 42,513.18 and 9,874

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Solution

The fourth proportional to 28,342, 42,513.18 and 9,874 is: 14,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,342 : 42,513.18 = 9,874 : x
  2. Step 2: Convert to fraction form
    28,342/42,513.18 = 9,874/x
  3. Step 3: Cross multiply
    28,342x = 42,513.18 × 9,874
  4. Step 4: Simplify right side
    28,342x = 419,775,139.32
  5. Step 5: Solve for x
    x = 419,775,139.32/28,342
  6. Step 6: Final answer
    x = 14,811.06

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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.