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Finding the Fourth Proportional to 13,142.18, 19,713.41 and 4,377.08

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Solution

The fourth proportional to 13,142.18, 19,713.41 and 4,377.08 is: 6,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.18 : 19,713.41 = 4,377.08 : x
  2. Step 2: Convert to fraction form
    13,142.18/19,713.41 = 4,377.08/x
  3. Step 3: Cross multiply
    13,142.18x = 19,713.41 × 4,377.08
  4. Step 4: Simplify right side
    13,142.18x = 86,287,052.19
  5. Step 5: Solve for x
    x = 86,287,052.19/13,142.18
  6. Step 6: Final answer
    x = 6,565.66

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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.