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Finding the Fourth Proportional to 25,730.50, 35,508.09 and 13,954.50

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Solution

The fourth proportional to 25,730.50, 35,508.09 and 13,954.50 is: 19,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.50 : 35,508.09 = 13,954.50 : x
  2. Step 2: Convert to fraction form
    25,730.50/35,508.09 = 13,954.50/x
  3. Step 3: Cross multiply
    25,730.50x = 35,508.09 × 13,954.50
  4. Step 4: Simplify right side
    25,730.50x = 495,497,641.91
  5. Step 5: Solve for x
    x = 495,497,641.91/25,730.50
  6. Step 6: Final answer
    x = 19,257.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.