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Finding the Fourth Proportional to 21,265.14, 31,885.92 and 8,603.46

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Solution

The fourth proportional to 21,265.14, 31,885.92 and 8,603.46 is: 12,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265.14 : 31,885.92 = 8,603.46 : x
  2. Step 2: Convert to fraction form
    21,265.14/31,885.92 = 8,603.46/x
  3. Step 3: Cross multiply
    21,265.14x = 31,885.92 × 8,603.46
  4. Step 4: Simplify right side
    21,265.14x = 274,329,237.28
  5. Step 5: Solve for x
    x = 274,329,237.28/21,265.14
  6. Step 6: Final answer
    x = 12,900.42

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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.