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Finding the Fourth Proportional to 25,684.96, 38,524.68 and 17,418.04

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Solution

The fourth proportional to 25,684.96, 38,524.68 and 17,418.04 is: 26,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684.96 : 38,524.68 = 17,418.04 : x
  2. Step 2: Convert to fraction form
    25,684.96/38,524.68 = 17,418.04/x
  3. Step 3: Cross multiply
    25,684.96x = 38,524.68 × 17,418.04
  4. Step 4: Simplify right side
    25,684.96x = 671,024,417.23
  5. Step 5: Solve for x
    x = 671,024,417.23/25,684.96
  6. Step 6: Final answer
    x = 26,125.19

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