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Finding the Fourth Proportional to 22,280.95, 30,748.57 and 12,722.40

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Solution

The fourth proportional to 22,280.95, 30,748.57 and 12,722.40 is: 17,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.95 : 30,748.57 = 12,722.40 : x
  2. Step 2: Convert to fraction form
    22,280.95/30,748.57 = 12,722.40/x
  3. Step 3: Cross multiply
    22,280.95x = 30,748.57 × 12,722.40
  4. Step 4: Simplify right side
    22,280.95x = 391,195,478.99
  5. Step 5: Solve for x
    x = 391,195,478.99/22,280.95
  6. Step 6: Final answer
    x = 17,557.39

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Why These Related Problems?

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