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Finding the Fourth Proportional to 25,141.86, 34,695.78 and 13,963.86

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Solution

The fourth proportional to 25,141.86, 34,695.78 and 13,963.86 is: 19,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,141.86 : 34,695.78 = 13,963.86 : x
  2. Step 2: Convert to fraction form
    25,141.86/34,695.78 = 13,963.86/x
  3. Step 3: Cross multiply
    25,141.86x = 34,695.78 × 13,963.86
  4. Step 4: Simplify right side
    25,141.86x = 484,487,014.51
  5. Step 5: Solve for x
    x = 484,487,014.51/25,141.86
  6. Step 6: Final answer
    x = 19,270.13

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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.