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Finding the Fourth Proportional to 23,564.28, 35,351.28 and 7,981.50

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Solution

The fourth proportional to 23,564.28, 35,351.28 and 7,981.50 is: 11,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.28 : 35,351.28 = 7,981.50 : x
  2. Step 2: Convert to fraction form
    23,564.28/35,351.28 = 7,981.50/x
  3. Step 3: Cross multiply
    23,564.28x = 35,351.28 × 7,981.50
  4. Step 4: Simplify right side
    23,564.28x = 282,156,241.32
  5. Step 5: Solve for x
    x = 282,156,241.32/23,564.28
  6. Step 6: Final answer
    x = 11,973.90

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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.