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Finding the Fourth Proportional to 12,334.10, 18,503.55 and 5,314.10

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Solution

The fourth proportional to 12,334.10, 18,503.55 and 5,314.10 is: 7,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.10 : 18,503.55 = 5,314.10 : x
  2. Step 2: Convert to fraction form
    12,334.10/18,503.55 = 5,314.10/x
  3. Step 3: Cross multiply
    12,334.10x = 18,503.55 × 5,314.10
  4. Step 4: Simplify right side
    12,334.10x = 98,329,715.06
  5. Step 5: Solve for x
    x = 98,329,715.06/12,334.10
  6. Step 6: Final answer
    x = 7,972.18

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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.