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Finding the Fourth Proportional to 22,193.64, 33,300.78 and 9,712.02

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Solution

The fourth proportional to 22,193.64, 33,300.78 and 9,712.02 is: 14,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,193.64 : 33,300.78 = 9,712.02 : x
  2. Step 2: Convert to fraction form
    22,193.64/33,300.78 = 9,712.02/x
  3. Step 3: Cross multiply
    22,193.64x = 33,300.78 × 9,712.02
  4. Step 4: Simplify right side
    22,193.64x = 323,417,841.38
  5. Step 5: Solve for x
    x = 323,417,841.38/22,193.64
  6. Step 6: Final answer
    x = 14,572.55

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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.