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Finding the Fourth Proportional to 22,526.86, 33,780.63 and 7,737.25

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Solution

The fourth proportional to 22,526.86, 33,780.63 and 7,737.25 is: 11,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526.86 : 33,780.63 = 7,737.25 : x
  2. Step 2: Convert to fraction form
    22,526.86/33,780.63 = 7,737.25/x
  3. Step 3: Cross multiply
    22,526.86x = 33,780.63 × 7,737.25
  4. Step 4: Simplify right side
    22,526.86x = 261,369,179.47
  5. Step 5: Solve for x
    x = 261,369,179.47/22,526.86
  6. Step 6: Final answer
    x = 11,602.56

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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.