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Finding the Fourth Proportional to 12,872.42, 19,312.53 and 5,379.62

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Solution

The fourth proportional to 12,872.42, 19,312.53 and 5,379.62 is: 8,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.42 : 19,312.53 = 5,379.62 : x
  2. Step 2: Convert to fraction form
    12,872.42/19,312.53 = 5,379.62/x
  3. Step 3: Cross multiply
    12,872.42x = 19,312.53 × 5,379.62
  4. Step 4: Simplify right side
    12,872.42x = 103,893,955.90
  5. Step 5: Solve for x
    x = 103,893,955.90/12,872.42
  6. Step 6: Final answer
    x = 8,071.05

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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.