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Finding the Fourth Proportional to 28,023.78, 42,036.27 and 8,302.74

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Solution

The fourth proportional to 28,023.78, 42,036.27 and 8,302.74 is: 12,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,023.78 : 42,036.27 = 8,302.74 : x
  2. Step 2: Convert to fraction form
    28,023.78/42,036.27 = 8,302.74/x
  3. Step 3: Cross multiply
    28,023.78x = 42,036.27 × 8,302.74
  4. Step 4: Simplify right side
    28,023.78x = 349,016,220.38
  5. Step 5: Solve for x
    x = 349,016,220.38/28,023.78
  6. Step 6: Final answer
    x = 12,454.29

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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.