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Finding the Fourth Proportional to 12,095.53, 18,146.57 and 5,071.85

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Solution

The fourth proportional to 12,095.53, 18,146.57 and 5,071.85 is: 7,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.53 : 18,146.57 = 5,071.85 : x
  2. Step 2: Convert to fraction form
    12,095.53/18,146.57 = 5,071.85/x
  3. Step 3: Cross multiply
    12,095.53x = 18,146.57 × 5,071.85
  4. Step 4: Simplify right side
    12,095.53x = 92,036,681.05
  5. Step 5: Solve for x
    x = 92,036,681.05/12,095.53
  6. Step 6: Final answer
    x = 7,609.15

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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.