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Finding the Fourth Proportional to 18,585.72, 25,648.53 and 10,202.22

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Solution

The fourth proportional to 18,585.72, 25,648.53 and 10,202.22 is: 14,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.72 : 25,648.53 = 10,202.22 : x
  2. Step 2: Convert to fraction form
    18,585.72/25,648.53 = 10,202.22/x
  3. Step 3: Cross multiply
    18,585.72x = 25,648.53 × 10,202.22
  4. Step 4: Simplify right side
    18,585.72x = 261,671,945.74
  5. Step 5: Solve for x
    x = 261,671,945.74/18,585.72
  6. Step 6: Final answer
    x = 14,079.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.