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Finding the Fourth Proportional to 22,280.25, 30,746.76 and 12,344.25

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Solution

The fourth proportional to 22,280.25, 30,746.76 and 12,344.25 is: 17,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.25 : 30,746.76 = 12,344.25 : x
  2. Step 2: Convert to fraction form
    22,280.25/30,746.76 = 12,344.25/x
  3. Step 3: Cross multiply
    22,280.25x = 30,746.76 × 12,344.25
  4. Step 4: Simplify right side
    22,280.25x = 379,545,692.13
  5. Step 5: Solve for x
    x = 379,545,692.13/22,280.25
  6. Step 6: Final answer
    x = 17,035.07

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1.5x scale

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.