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Finding the Fourth Proportional to 28,202.38, 42,289.70 and 11,557.89

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Solution

The fourth proportional to 28,202.38, 42,289.70 and 11,557.89 is: 17,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,202.38 : 42,289.70 = 11,557.89 : x
  2. Step 2: Convert to fraction form
    28,202.38/42,289.70 = 11,557.89/x
  3. Step 3: Cross multiply
    28,202.38x = 42,289.70 × 11,557.89
  4. Step 4: Simplify right side
    28,202.38x = 488,779,642.94
  5. Step 5: Solve for x
    x = 488,779,642.94/28,202.38
  6. Step 6: Final answer
    x = 17,331.15

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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.