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Finding the Fourth Proportional to 25,777.25, 35,570.84 and 14,444.81

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Solution

The fourth proportional to 25,777.25, 35,570.84 and 14,444.81 is: 19,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.25 : 35,570.84 = 14,444.81 : x
  2. Step 2: Convert to fraction form
    25,777.25/35,570.84 = 14,444.81/x
  3. Step 3: Cross multiply
    25,777.25x = 35,570.84 × 14,444.81
  4. Step 4: Simplify right side
    25,777.25x = 513,813,775.26
  5. Step 5: Solve for x
    x = 513,813,775.26/25,777.25
  6. Step 6: Final answer
    x = 19,932.84

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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.