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Finding the Fourth Proportional to 12,715.89, 19,077.30 and 6,142.08

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Solution

The fourth proportional to 12,715.89, 19,077.30 and 6,142.08 is: 9,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.89 : 19,077.30 = 6,142.08 : x
  2. Step 2: Convert to fraction form
    12,715.89/19,077.30 = 6,142.08/x
  3. Step 3: Cross multiply
    12,715.89x = 19,077.30 × 6,142.08
  4. Step 4: Simplify right side
    12,715.89x = 117,174,302.78
  5. Step 5: Solve for x
    x = 117,174,302.78/12,715.89
  6. Step 6: Final answer
    x = 9,214.79

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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.