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Finding the Fourth Proportional to 19,471.26, 29,140.65 and 13,215.90

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Solution

The fourth proportional to 19,471.26, 29,140.65 and 13,215.90 is: 19,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.26 : 29,140.65 = 13,215.90 : x
  2. Step 2: Convert to fraction form
    19,471.26/29,140.65 = 13,215.90/x
  3. Step 3: Cross multiply
    19,471.26x = 29,140.65 × 13,215.90
  4. Step 4: Simplify right side
    19,471.26x = 385,119,916.34
  5. Step 5: Solve for x
    x = 385,119,916.34/19,471.26
  6. Step 6: Final answer
    x = 19,778.89

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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.