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Finding the Fourth Proportional to 19,535.70, 29,301.12 and 6,386.97

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Solution

The fourth proportional to 19,535.70, 29,301.12 and 6,386.97 is: 9,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535.70 : 29,301.12 = 6,386.97 : x
  2. Step 2: Convert to fraction form
    19,535.70/29,301.12 = 6,386.97/x
  3. Step 3: Cross multiply
    19,535.70x = 29,301.12 × 6,386.97
  4. Step 4: Simplify right side
    19,535.70x = 187,145,374.41
  5. Step 5: Solve for x
    x = 187,145,374.41/19,535.70
  6. Step 6: Final answer
    x = 9,579.66

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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.