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Finding the Fourth Proportional to 25,686.93, 35,447.84 and 14,356.42

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Solution

The fourth proportional to 25,686.93, 35,447.84 and 14,356.42 is: 19,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.93 : 35,447.84 = 14,356.42 : x
  2. Step 2: Convert to fraction form
    25,686.93/35,447.84 = 14,356.42/x
  3. Step 3: Cross multiply
    25,686.93x = 35,447.84 × 14,356.42
  4. Step 4: Simplify right side
    25,686.93x = 508,904,079.13
  5. Step 5: Solve for x
    x = 508,904,079.13/25,686.93
  6. Step 6: Final answer
    x = 19,811.79

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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.