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Finding the Fourth Proportional to 12,207.42, 18,312.04 and 5,186.64

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Solution

The fourth proportional to 12,207.42, 18,312.04 and 5,186.64 is: 7,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.42 : 18,312.04 = 5,186.64 : x
  2. Step 2: Convert to fraction form
    12,207.42/18,312.04 = 5,186.64/x
  3. Step 3: Cross multiply
    12,207.42x = 18,312.04 × 5,186.64
  4. Step 4: Simplify right side
    12,207.42x = 94,977,959.15
  5. Step 5: Solve for x
    x = 94,977,959.15/12,207.42
  6. Step 6: Final answer
    x = 7,780.35

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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.