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Finding the Fourth Proportional to 28,657.16, 42,998.06 and 13,877.16

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Solution

The fourth proportional to 28,657.16, 42,998.06 and 13,877.16 is: 20,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,657.16 : 42,998.06 = 13,877.16 : x
  2. Step 2: Convert to fraction form
    28,657.16/42,998.06 = 13,877.16/x
  3. Step 3: Cross multiply
    28,657.16x = 42,998.06 × 13,877.16
  4. Step 4: Simplify right side
    28,657.16x = 596,690,958.31
  5. Step 5: Solve for x
    x = 596,690,958.31/28,657.16
  6. Step 6: Final answer
    x = 20,821.71

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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.