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Finding the Fourth Proportional to 42,012.14, 63,018.03 and 12,430.16

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Solution

The fourth proportional to 42,012.14, 63,018.03 and 12,430.16 is: 18,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012.14 : 63,018.03 = 12,430.16 : x
  2. Step 2: Convert to fraction form
    42,012.14/63,018.03 = 12,430.16/x
  3. Step 3: Cross multiply
    42,012.14x = 63,018.03 × 12,430.16
  4. Step 4: Simplify right side
    42,012.14x = 783,324,195.78
  5. Step 5: Solve for x
    x = 783,324,195.78/42,012.14
  6. Step 6: Final answer
    x = 18,645.19

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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.