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Finding the Fourth Proportional to 21,522.48, 32,283.72 and 7,661.76

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Solution

The fourth proportional to 21,522.48, 32,283.72 and 7,661.76 is: 11,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.48 : 32,283.72 = 7,661.76 : x
  2. Step 2: Convert to fraction form
    21,522.48/32,283.72 = 7,661.76/x
  3. Step 3: Cross multiply
    21,522.48x = 32,283.72 × 7,661.76
  4. Step 4: Simplify right side
    21,522.48x = 247,350,114.55
  5. Step 5: Solve for x
    x = 247,350,114.55/21,522.48
  6. Step 6: Final answer
    x = 11,492.64

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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.