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Finding the Fourth Proportional to 22,044, 33,019.20 and 16,505.76

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Solution

The fourth proportional to 22,044, 33,019.20 and 16,505.76 is: 24,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,044 : 33,019.20 = 16,505.76 : x
  2. Step 2: Convert to fraction form
    22,044/33,019.20 = 16,505.76/x
  3. Step 3: Cross multiply
    22,044x = 33,019.20 × 16,505.76
  4. Step 4: Simplify right side
    22,044x = 545,006,990.59
  5. Step 5: Solve for x
    x = 545,006,990.59/22,044
  6. Step 6: Final answer
    x = 24,723.60

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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.