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Finding the Fourth Proportional to 19,430.85, 29,139.12 and 6,947.49

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Solution

The fourth proportional to 19,430.85, 29,139.12 and 6,947.49 is: 10,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430.85 : 29,139.12 = 6,947.49 : x
  2. Step 2: Convert to fraction form
    19,430.85/29,139.12 = 6,947.49/x
  3. Step 3: Cross multiply
    19,430.85x = 29,139.12 × 6,947.49
  4. Step 4: Simplify right side
    19,430.85x = 202,443,744.81
  5. Step 5: Solve for x
    x = 202,443,744.81/19,430.85
  6. Step 6: Final answer
    x = 10,418.68

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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.