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Finding the Fourth Proportional to 15,712.26, 21,683.08 and 8,542.22

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Solution

The fourth proportional to 15,712.26, 21,683.08 and 8,542.22 is: 11,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.26 : 21,683.08 = 8,542.22 : x
  2. Step 2: Convert to fraction form
    15,712.26/21,683.08 = 8,542.22/x
  3. Step 3: Cross multiply
    15,712.26x = 21,683.08 × 8,542.22
  4. Step 4: Simplify right side
    15,712.26x = 185,221,639.64
  5. Step 5: Solve for x
    x = 185,221,639.64/15,712.26
  6. Step 6: Final answer
    x = 11,788.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.