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Finding the Fourth Proportional to 21,712.32, 32,572.38 and 7,680.48

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Solution

The fourth proportional to 21,712.32, 32,572.38 and 7,680.48 is: 11,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712.32 : 32,572.38 = 7,680.48 : x
  2. Step 2: Convert to fraction form
    21,712.32/32,572.38 = 7,680.48/x
  3. Step 3: Cross multiply
    21,712.32x = 32,572.38 × 7,680.48
  4. Step 4: Simplify right side
    21,712.32x = 250,171,513.14
  5. Step 5: Solve for x
    x = 250,171,513.14/21,712.32
  6. Step 6: Final answer
    x = 11,522.10

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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.