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Finding the Fourth Proportional to 15,853.18, 21,877.22 and 9,138.74

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Solution

The fourth proportional to 15,853.18, 21,877.22 and 9,138.74 is: 12,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.18 : 21,877.22 = 9,138.74 : x
  2. Step 2: Convert to fraction form
    15,853.18/21,877.22 = 9,138.74/x
  3. Step 3: Cross multiply
    15,853.18x = 21,877.22 × 9,138.74
  4. Step 4: Simplify right side
    15,853.18x = 199,930,225.50
  5. Step 5: Solve for x
    x = 199,930,225.50/15,853.18
  6. Step 6: Final answer
    x = 12,611.36

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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.