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Finding the Fourth Proportional to 18,802.56, 25,947.72 and 10,419

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Solution

The fourth proportional to 18,802.56, 25,947.72 and 10,419 is: 14,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,802.56 : 25,947.72 = 10,419 : x
  2. Step 2: Convert to fraction form
    18,802.56/25,947.72 = 10,419/x
  3. Step 3: Cross multiply
    18,802.56x = 25,947.72 × 10,419
  4. Step 4: Simplify right side
    18,802.56x = 270,349,294.68
  5. Step 5: Solve for x
    x = 270,349,294.68/18,802.56
  6. Step 6: Final answer
    x = 14,378.32

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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.