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Finding the Fourth Proportional to 13,227.84, 18,254.57 and 7,562.50

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Solution

The fourth proportional to 13,227.84, 18,254.57 and 7,562.50 is: 10,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.84 : 18,254.57 = 7,562.50 : x
  2. Step 2: Convert to fraction form
    13,227.84/18,254.57 = 7,562.50/x
  3. Step 3: Cross multiply
    13,227.84x = 18,254.57 × 7,562.50
  4. Step 4: Simplify right side
    13,227.84x = 138,050,102.18
  5. Step 5: Solve for x
    x = 138,050,102.18/13,227.84
  6. Step 6: Final answer
    x = 10,436.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.