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Finding the Fourth Proportional to 25,225, 34,817.64 and 15,156.64

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Solution

The fourth proportional to 25,225, 34,817.64 and 15,156.64 is: 20,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225 : 34,817.64 = 15,156.64 : x
  2. Step 2: Convert to fraction form
    25,225/34,817.64 = 15,156.64/x
  3. Step 3: Cross multiply
    25,225x = 34,817.64 × 15,156.64
  4. Step 4: Simplify right side
    25,225x = 527,718,435.13
  5. Step 5: Solve for x
    x = 527,718,435.13/25,225
  6. Step 6: Final answer
    x = 20,920.45

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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.