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Finding the Fourth Proportional to 25,344, 34,974.72 and 14,166.24

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Solution

The fourth proportional to 25,344, 34,974.72 and 14,166.24 is: 19,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344 : 34,974.72 = 14,166.24 : x
  2. Step 2: Convert to fraction form
    25,344/34,974.72 = 14,166.24/x
  3. Step 3: Cross multiply
    25,344x = 34,974.72 × 14,166.24
  4. Step 4: Simplify right side
    25,344x = 495,460,277.45
  5. Step 5: Solve for x
    x = 495,460,277.45/25,344
  6. Step 6: Final answer
    x = 19,549.41

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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.