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Finding the Fourth Proportional to 25,862, 35,689.56 and 14,086

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Solution

The fourth proportional to 25,862, 35,689.56 and 14,086 is: 19,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862 : 35,689.56 = 14,086 : x
  2. Step 2: Convert to fraction form
    25,862/35,689.56 = 14,086/x
  3. Step 3: Cross multiply
    25,862x = 35,689.56 × 14,086
  4. Step 4: Simplify right side
    25,862x = 502,723,142.16
  5. Step 5: Solve for x
    x = 502,723,142.16/25,862
  6. Step 6: Final answer
    x = 19,438.68

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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.