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Finding the Fourth Proportional to 22,450.47, 30,981.06 and 12,378.95

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Solution

The fourth proportional to 22,450.47, 30,981.06 and 12,378.95 is: 17,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,450.47 : 30,981.06 = 12,378.95 : x
  2. Step 2: Convert to fraction form
    22,450.47/30,981.06 = 12,378.95/x
  3. Step 3: Cross multiply
    22,450.47x = 30,981.06 × 12,378.95
  4. Step 4: Simplify right side
    22,450.47x = 383,513,006.28
  5. Step 5: Solve for x
    x = 383,513,006.28/22,450.47
  6. Step 6: Final answer
    x = 17,082.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.