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Finding the Fourth Proportional to 42,009.16, 63,026.02 and 12,427.78

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Solution

The fourth proportional to 42,009.16, 63,026.02 and 12,427.78 is: 18,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,009.16 : 63,026.02 = 12,427.78 : x
  2. Step 2: Convert to fraction form
    42,009.16/63,026.02 = 12,427.78/x
  3. Step 3: Cross multiply
    42,009.16x = 63,026.02 × 12,427.78
  4. Step 4: Simplify right side
    42,009.16x = 783,273,510.84
  5. Step 5: Solve for x
    x = 783,273,510.84/42,009.16
  6. Step 6: Final answer
    x = 18,645.30

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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.