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Finding the Fourth Proportional to 22,032.45, 33,054.14 and 10,332

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Solution

The fourth proportional to 22,032.45, 33,054.14 and 10,332 is: 15,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032.45 : 33,054.14 = 10,332 : x
  2. Step 2: Convert to fraction form
    22,032.45/33,054.14 = 10,332/x
  3. Step 3: Cross multiply
    22,032.45x = 33,054.14 × 10,332
  4. Step 4: Simplify right side
    22,032.45x = 341,515,400.31
  5. Step 5: Solve for x
    x = 341,515,400.31/22,032.45
  6. Step 6: Final answer
    x = 15,500.56

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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.