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Finding the Fourth Proportional to 42,009.16, 63,013.53 and 12,427.15

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Solution

The fourth proportional to 42,009.16, 63,013.53 and 12,427.15 is: 18,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,009.16 : 63,013.53 = 12,427.15 : x
  2. Step 2: Convert to fraction form
    42,009.16/63,013.53 = 12,427.15/x
  3. Step 3: Cross multiply
    42,009.16x = 63,013.53 × 12,427.15
  4. Step 4: Simplify right side
    42,009.16x = 783,078,589.34
  5. Step 5: Solve for x
    x = 783,078,589.34/42,009.16
  6. Step 6: Final answer
    x = 18,640.66

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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.