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Finding the Fourth Proportional to 12,856.38, 19,295.49 and 5,070.66

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Solution

The fourth proportional to 12,856.38, 19,295.49 and 5,070.66 is: 7,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.38 : 19,295.49 = 5,070.66 : x
  2. Step 2: Convert to fraction form
    12,856.38/19,295.49 = 5,070.66/x
  3. Step 3: Cross multiply
    12,856.38x = 19,295.49 × 5,070.66
  4. Step 4: Simplify right side
    12,856.38x = 97,840,869.32
  5. Step 5: Solve for x
    x = 97,840,869.32/12,856.38
  6. Step 6: Final answer
    x = 7,610.30

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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.