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Finding the Fourth Proportional to 25,152.84, 34,710.84 and 13,974.84

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Solution

The fourth proportional to 25,152.84, 34,710.84 and 13,974.84 is: 19,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.84 : 34,710.84 = 13,974.84 : x
  2. Step 2: Convert to fraction form
    25,152.84/34,710.84 = 13,974.84/x
  3. Step 3: Cross multiply
    25,152.84x = 34,710.84 × 13,974.84
  4. Step 4: Simplify right side
    25,152.84x = 485,078,435.27
  5. Step 5: Solve for x
    x = 485,078,435.27/25,152.84
  6. Step 6: Final answer
    x = 19,285.24

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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.