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Finding the Fourth Proportional to 25,121.68, 37,667.76 and 9,540.40

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Solution

The fourth proportional to 25,121.68, 37,667.76 and 9,540.40 is: 14,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,121.68 : 37,667.76 = 9,540.40 : x
  2. Step 2: Convert to fraction form
    25,121.68/37,667.76 = 9,540.40/x
  3. Step 3: Cross multiply
    25,121.68x = 37,667.76 × 9,540.40
  4. Step 4: Simplify right side
    25,121.68x = 359,365,497.50
  5. Step 5: Solve for x
    x = 359,365,497.50/25,121.68
  6. Step 6: Final answer
    x = 14,304.99

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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.