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Finding the Fourth Proportional to 25,744.95, 38,603.75 and 13,259.93

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Solution

The fourth proportional to 25,744.95, 38,603.75 and 13,259.93 is: 19,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744.95 : 38,603.75 = 13,259.93 : x
  2. Step 2: Convert to fraction form
    25,744.95/38,603.75 = 13,259.93/x
  3. Step 3: Cross multiply
    25,744.95x = 38,603.75 × 13,259.93
  4. Step 4: Simplify right side
    25,744.95x = 511,882,763.42
  5. Step 5: Solve for x
    x = 511,882,763.42/25,744.95
  6. Step 6: Final answer
    x = 19,882.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.