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Finding the Fourth Proportional to 12,877.74, 19,319.13 and 4,113.18

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Solution

The fourth proportional to 12,877.74, 19,319.13 and 4,113.18 is: 6,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.74 : 19,319.13 = 4,113.18 : x
  2. Step 2: Convert to fraction form
    12,877.74/19,319.13 = 4,113.18/x
  3. Step 3: Cross multiply
    12,877.74x = 19,319.13 × 4,113.18
  4. Step 4: Simplify right side
    12,877.74x = 79,463,059.13
  5. Step 5: Solve for x
    x = 79,463,059.13/12,877.74
  6. Step 6: Final answer
    x = 6,170.57

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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.