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Finding the Fourth Proportional to 21,277.20, 31,915.80 and 9,613.20

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Solution

The fourth proportional to 21,277.20, 31,915.80 and 9,613.20 is: 14,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,277.20 : 31,915.80 = 9,613.20 : x
  2. Step 2: Convert to fraction form
    21,277.20/31,915.80 = 9,613.20/x
  3. Step 3: Cross multiply
    21,277.20x = 31,915.80 × 9,613.20
  4. Step 4: Simplify right side
    21,277.20x = 306,812,968.56
  5. Step 5: Solve for x
    x = 306,812,968.56/21,277.20
  6. Step 6: Final answer
    x = 14,419.80

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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.