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Finding the Fourth Proportional to 15,828.40, 23,726.40 and 9,251.20

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Solution

The fourth proportional to 15,828.40, 23,726.40 and 9,251.20 is: 13,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.40 : 23,726.40 = 9,251.20 : x
  2. Step 2: Convert to fraction form
    15,828.40/23,726.40 = 9,251.20/x
  3. Step 3: Cross multiply
    15,828.40x = 23,726.40 × 9,251.20
  4. Step 4: Simplify right side
    15,828.40x = 219,497,671.68
  5. Step 5: Solve for x
    x = 219,497,671.68/15,828.40
  6. Step 6: Final answer
    x = 13,867.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.