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Finding the Fourth Proportional to 22,841.52, 34,266.72 and 7,256.16

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Solution

The fourth proportional to 22,841.52, 34,266.72 and 7,256.16 is: 10,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.52 : 34,266.72 = 7,256.16 : x
  2. Step 2: Convert to fraction form
    22,841.52/34,266.72 = 7,256.16/x
  3. Step 3: Cross multiply
    22,841.52x = 34,266.72 × 7,256.16
  4. Step 4: Simplify right side
    22,841.52x = 248,644,803.00
  5. Step 5: Solve for x
    x = 248,644,803.00/22,841.52
  6. Step 6: Final answer
    x = 10,885.65

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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.