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Finding the Fourth Proportional to 25,712.90, 35,480.25 and 14,381.81

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Solution

The fourth proportional to 25,712.90, 35,480.25 and 14,381.81 is: 19,844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.90 : 35,480.25 = 14,381.81 : x
  2. Step 2: Convert to fraction form
    25,712.90/35,480.25 = 14,381.81/x
  3. Step 3: Cross multiply
    25,712.90x = 35,480.25 × 14,381.81
  4. Step 4: Simplify right side
    25,712.90x = 510,270,036.85
  5. Step 5: Solve for x
    x = 510,270,036.85/25,712.90
  6. Step 6: Final answer
    x = 19,844.91

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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.