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Finding the Fourth Proportional to 25,019, 34,527.82 and 14,408.40

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Solution

The fourth proportional to 25,019, 34,527.82 and 14,408.40 is: 19,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,019 : 34,527.82 = 14,408.40 : x
  2. Step 2: Convert to fraction form
    25,019/34,527.82 = 14,408.40/x
  3. Step 3: Cross multiply
    25,019x = 34,527.82 × 14,408.40
  4. Step 4: Simplify right side
    25,019x = 497,490,641.69
  5. Step 5: Solve for x
    x = 497,490,641.69/25,019
  6. Step 6: Final answer
    x = 19,884.51

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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.