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Finding the Fourth Proportional to 12,378.84, 18,500.28 and 9,054.09

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Solution

The fourth proportional to 12,378.84, 18,500.28 and 9,054.09 is: 13,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.84 : 18,500.28 = 9,054.09 : x
  2. Step 2: Convert to fraction form
    12,378.84/18,500.28 = 9,054.09/x
  3. Step 3: Cross multiply
    12,378.84x = 18,500.28 × 9,054.09
  4. Step 4: Simplify right side
    12,378.84x = 167,503,200.15
  5. Step 5: Solve for x
    x = 167,503,200.15/12,378.84
  6. Step 6: Final answer
    x = 13,531.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.