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Finding the Fourth Proportional to 21,531.34, 32,286.48 and 8,878.74

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Solution

The fourth proportional to 21,531.34, 32,286.48 and 8,878.74 is: 13,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.34 : 32,286.48 = 8,878.74 : x
  2. Step 2: Convert to fraction form
    21,531.34/32,286.48 = 8,878.74/x
  3. Step 3: Cross multiply
    21,531.34x = 32,286.48 × 8,878.74
  4. Step 4: Simplify right side
    21,531.34x = 286,663,261.44
  5. Step 5: Solve for x
    x = 286,663,261.44/21,531.34
  6. Step 6: Final answer
    x = 13,313.77

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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.