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Finding the Fourth Proportional to 25,854.84, 38,808.18 and 17,420.31

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Solution

The fourth proportional to 25,854.84, 38,808.18 and 17,420.31 is: 26,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.84 : 38,808.18 = 17,420.31 : x
  2. Step 2: Convert to fraction form
    25,854.84/38,808.18 = 17,420.31/x
  3. Step 3: Cross multiply
    25,854.84x = 38,808.18 × 17,420.31
  4. Step 4: Simplify right side
    25,854.84x = 676,050,526.14
  5. Step 5: Solve for x
    x = 676,050,526.14/25,854.84
  6. Step 6: Final answer
    x = 26,147.93

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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.