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Finding the Fourth Proportional to 28,572.38, 42,830.32 and 13,553.16

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Solution

The fourth proportional to 28,572.38, 42,830.32 and 13,553.16 is: 20,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,572.38 : 42,830.32 = 13,553.16 : x
  2. Step 2: Convert to fraction form
    28,572.38/42,830.32 = 13,553.16/x
  3. Step 3: Cross multiply
    28,572.38x = 42,830.32 × 13,553.16
  4. Step 4: Simplify right side
    28,572.38x = 580,486,145.93
  5. Step 5: Solve for x
    x = 580,486,145.93/28,572.38
  6. Step 6: Final answer
    x = 20,316.34

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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.