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Finding the Fourth Proportional to 28,224, 38,949.35 and 15,648.75

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Solution

The fourth proportional to 28,224, 38,949.35 and 15,648.75 is: 21,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224 : 38,949.35 = 15,648.75 : x
  2. Step 2: Convert to fraction form
    28,224/38,949.35 = 15,648.75/x
  3. Step 3: Cross multiply
    28,224x = 38,949.35 × 15,648.75
  4. Step 4: Simplify right side
    28,224x = 609,508,562.57
  5. Step 5: Solve for x
    x = 609,508,562.57/28,224
  6. Step 6: Final answer
    x = 21,595.40

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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.