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Finding the Fourth Proportional to 21,932.25, 32,901.80 and 7,137.68

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Solution

The fourth proportional to 21,932.25, 32,901.80 and 7,137.68 is: 10,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.25 : 32,901.80 = 7,137.68 : x
  2. Step 2: Convert to fraction form
    21,932.25/32,901.80 = 7,137.68/x
  3. Step 3: Cross multiply
    21,932.25x = 32,901.80 × 7,137.68
  4. Step 4: Simplify right side
    21,932.25x = 234,842,319.63
  5. Step 5: Solve for x
    x = 234,842,319.63/21,932.25
  6. Step 6: Final answer
    x = 10,707.63

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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.