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Finding the Fourth Proportional to 21,347.15, 32,022.95 and 7,308.63

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Solution

The fourth proportional to 21,347.15, 32,022.95 and 7,308.63 is: 10,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.15 : 32,022.95 = 7,308.63 : x
  2. Step 2: Convert to fraction form
    21,347.15/32,022.95 = 7,308.63/x
  3. Step 3: Cross multiply
    21,347.15x = 32,022.95 × 7,308.63
  4. Step 4: Simplify right side
    21,347.15x = 234,043,856.52
  5. Step 5: Solve for x
    x = 234,043,856.52/21,347.15
  6. Step 6: Final answer
    x = 10,963.71

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