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Finding the Fourth Proportional to 22,264.20, 30,715.02 and 12,827.16

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Solution

The fourth proportional to 22,264.20, 30,715.02 and 12,827.16 is: 17,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.20 : 30,715.02 = 12,827.16 : x
  2. Step 2: Convert to fraction form
    22,264.20/30,715.02 = 12,827.16/x
  3. Step 3: Cross multiply
    22,264.20x = 30,715.02 × 12,827.16
  4. Step 4: Simplify right side
    22,264.20x = 393,986,475.94
  5. Step 5: Solve for x
    x = 393,986,475.94/22,264.20
  6. Step 6: Final answer
    x = 17,695.96

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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.