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Finding the Fourth Proportional to 23,154.84, 34,737.12 and 7,571.25

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Solution

The fourth proportional to 23,154.84, 34,737.12 and 7,571.25 is: 11,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.84 : 34,737.12 = 7,571.25 : x
  2. Step 2: Convert to fraction form
    23,154.84/34,737.12 = 7,571.25/x
  3. Step 3: Cross multiply
    23,154.84x = 34,737.12 × 7,571.25
  4. Step 4: Simplify right side
    23,154.84x = 263,003,419.80
  5. Step 5: Solve for x
    x = 263,003,419.80/23,154.84
  6. Step 6: Final answer
    x = 11,358.46

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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.