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Finding the Fourth Proportional to 24,862.28, 37,289.71 and 8,222.40

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Solution

The fourth proportional to 24,862.28, 37,289.71 and 8,222.40 is: 12,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862.28 : 37,289.71 = 8,222.40 : x
  2. Step 2: Convert to fraction form
    24,862.28/37,289.71 = 8,222.40/x
  3. Step 3: Cross multiply
    24,862.28x = 37,289.71 × 8,222.40
  4. Step 4: Simplify right side
    24,862.28x = 306,610,911.50
  5. Step 5: Solve for x
    x = 306,610,911.50/24,862.28
  6. Step 6: Final answer
    x = 12,332.37

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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.