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Finding the Fourth Proportional to 18,586, 25,648.52 and 10,088.08

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Solution

The fourth proportional to 18,586, 25,648.52 and 10,088.08 is: 13,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586 : 25,648.52 = 10,088.08 : x
  2. Step 2: Convert to fraction form
    18,586/25,648.52 = 10,088.08/x
  3. Step 3: Cross multiply
    18,586x = 25,648.52 × 10,088.08
  4. Step 4: Simplify right side
    18,586x = 258,744,321.64
  5. Step 5: Solve for x
    x = 258,744,321.64/18,586
  6. Step 6: Final answer
    x = 13,921.46

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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.