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Finding the Fourth Proportional to 19,589.76, 29,386.70 and 6,443.16

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Solution

The fourth proportional to 19,589.76, 29,386.70 and 6,443.16 is: 9,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.76 : 29,386.70 = 6,443.16 : x
  2. Step 2: Convert to fraction form
    19,589.76/29,386.70 = 6,443.16/x
  3. Step 3: Cross multiply
    19,589.76x = 29,386.70 × 6,443.16
  4. Step 4: Simplify right side
    19,589.76x = 189,343,183.80
  5. Step 5: Solve for x
    x = 189,343,183.80/19,589.76
  6. Step 6: Final answer
    x = 9,665.41

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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.