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Finding the Fourth Proportional to 12,314.08, 18,467.16 and 5,292.18

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Solution

The fourth proportional to 12,314.08, 18,467.16 and 5,292.18 is: 7,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.08 : 18,467.16 = 5,292.18 : x
  2. Step 2: Convert to fraction form
    12,314.08/18,467.16 = 5,292.18/x
  3. Step 3: Cross multiply
    12,314.08x = 18,467.16 × 5,292.18
  4. Step 4: Simplify right side
    12,314.08x = 97,731,534.81
  5. Step 5: Solve for x
    x = 97,731,534.81/12,314.08
  6. Step 6: Final answer
    x = 7,936.57

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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.