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Finding the Fourth Proportional to 21,678.34, 32,505.18 and 8,523.52

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Solution

The fourth proportional to 21,678.34, 32,505.18 and 8,523.52 is: 12,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.34 : 32,505.18 = 8,523.52 : x
  2. Step 2: Convert to fraction form
    21,678.34/32,505.18 = 8,523.52/x
  3. Step 3: Cross multiply
    21,678.34x = 32,505.18 × 8,523.52
  4. Step 4: Simplify right side
    21,678.34x = 277,058,551.83
  5. Step 5: Solve for x
    x = 277,058,551.83/21,678.34
  6. Step 6: Final answer
    x = 12,780.43

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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.