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Finding the Fourth Proportional to 25,854.90, 35,693.28 and 17,401.46

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Solution

The fourth proportional to 25,854.90, 35,693.28 and 17,401.46 is: 24,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.90 : 35,693.28 = 17,401.46 : x
  2. Step 2: Convert to fraction form
    25,854.90/35,693.28 = 17,401.46/x
  3. Step 3: Cross multiply
    25,854.90x = 35,693.28 × 17,401.46
  4. Step 4: Simplify right side
    25,854.90x = 621,115,184.19
  5. Step 5: Solve for x
    x = 621,115,184.19/25,854.90
  6. Step 6: Final answer
    x = 24,023.11

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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.