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Finding the Fourth Proportional to 21,775.18, 32,648.18 and 10,082.02

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Solution

The fourth proportional to 21,775.18, 32,648.18 and 10,082.02 is: 15,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.18 : 32,648.18 = 10,082.02 : x
  2. Step 2: Convert to fraction form
    21,775.18/32,648.18 = 10,082.02/x
  3. Step 3: Cross multiply
    21,775.18x = 32,648.18 × 10,082.02
  4. Step 4: Simplify right side
    21,775.18x = 329,159,603.72
  5. Step 5: Solve for x
    x = 329,159,603.72/21,775.18
  6. Step 6: Final answer
    x = 15,116.27

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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.