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Finding the Fourth Proportional to 25,712.85, 35,483.43 and 14,382.17

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Solution

The fourth proportional to 25,712.85, 35,483.43 and 14,382.17 is: 19,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.85 : 35,483.43 = 14,382.17 : x
  2. Step 2: Convert to fraction form
    25,712.85/35,483.43 = 14,382.17/x
  3. Step 3: Cross multiply
    25,712.85x = 35,483.43 × 14,382.17
  4. Step 4: Simplify right side
    25,712.85x = 510,328,722.44
  5. Step 5: Solve for x
    x = 510,328,722.44/25,712.85
  6. Step 6: Final answer
    x = 19,847.23

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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.