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Finding the Fourth Proportional to 24,806.25, 34,232.90 and 13,628.25

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Solution

The fourth proportional to 24,806.25, 34,232.90 and 13,628.25 is: 18,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.25 : 34,232.90 = 13,628.25 : x
  2. Step 2: Convert to fraction form
    24,806.25/34,232.90 = 13,628.25/x
  3. Step 3: Cross multiply
    24,806.25x = 34,232.90 × 13,628.25
  4. Step 4: Simplify right side
    24,806.25x = 466,534,451.28
  5. Step 5: Solve for x
    x = 466,534,451.28/24,806.25
  6. Step 6: Final answer
    x = 18,807.13

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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.