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Finding the Fourth Proportional to 12,877.26, 19,317 and 3,643.26

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Solution

The fourth proportional to 12,877.26, 19,317 and 3,643.26 is: 5,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.26 : 19,317 = 3,643.26 : x
  2. Step 2: Convert to fraction form
    12,877.26/19,317 = 3,643.26/x
  3. Step 3: Cross multiply
    12,877.26x = 19,317 × 3,643.26
  4. Step 4: Simplify right side
    12,877.26x = 70,376,853.42
  5. Step 5: Solve for x
    x = 70,376,853.42/12,877.26
  6. Step 6: Final answer
    x = 5,465.20

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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.