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Finding the Fourth Proportional to 25,637.40, 38,433.17 and 13,797.50

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Solution

The fourth proportional to 25,637.40, 38,433.17 and 13,797.50 is: 20,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,637.40 : 38,433.17 = 13,797.50 : x
  2. Step 2: Convert to fraction form
    25,637.40/38,433.17 = 13,797.50/x
  3. Step 3: Cross multiply
    25,637.40x = 38,433.17 × 13,797.50
  4. Step 4: Simplify right side
    25,637.40x = 530,281,401.92
  5. Step 5: Solve for x
    x = 530,281,401.92/25,637.40
  6. Step 6: Final answer
    x = 20,683.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.