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Finding the Fourth Proportional to 18,307.46, 27,464.43 and 6,909.14

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Solution

The fourth proportional to 18,307.46, 27,464.43 and 6,909.14 is: 10,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,307.46 : 27,464.43 = 6,909.14 : x
  2. Step 2: Convert to fraction form
    18,307.46/27,464.43 = 6,909.14/x
  3. Step 3: Cross multiply
    18,307.46x = 27,464.43 × 6,909.14
  4. Step 4: Simplify right side
    18,307.46x = 189,755,591.89
  5. Step 5: Solve for x
    x = 189,755,591.89/18,307.46
  6. Step 6: Final answer
    x = 10,364.93

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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.