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Finding the Fourth Proportional to 21,292.76, 31,932.60 and 7,438.52

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Solution

The fourth proportional to 21,292.76, 31,932.60 and 7,438.52 is: 11,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.76 : 31,932.60 = 7,438.52 : x
  2. Step 2: Convert to fraction form
    21,292.76/31,932.60 = 7,438.52/x
  3. Step 3: Cross multiply
    21,292.76x = 31,932.60 × 7,438.52
  4. Step 4: Simplify right side
    21,292.76x = 237,531,283.75
  5. Step 5: Solve for x
    x = 237,531,283.75/21,292.76
  6. Step 6: Final answer
    x = 11,155.50

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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.