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Finding the Fourth Proportional to 25,153.98, 34,713.16 and 13,823.80

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Solution

The fourth proportional to 25,153.98, 34,713.16 and 13,823.80 is: 19,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.98 : 34,713.16 = 13,823.80 : x
  2. Step 2: Convert to fraction form
    25,153.98/34,713.16 = 13,823.80/x
  3. Step 3: Cross multiply
    25,153.98x = 34,713.16 × 13,823.80
  4. Step 4: Simplify right side
    25,153.98x = 479,867,781.21
  5. Step 5: Solve for x
    x = 479,867,781.21/25,153.98
  6. Step 6: Final answer
    x = 19,077.21

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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.