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Finding the Fourth Proportional to 19,589.12, 29,386.08 and 6,443.84

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Solution

The fourth proportional to 19,589.12, 29,386.08 and 6,443.84 is: 9,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.12 : 29,386.08 = 6,443.84 : x
  2. Step 2: Convert to fraction form
    19,589.12/29,386.08 = 6,443.84/x
  3. Step 3: Cross multiply
    19,589.12x = 29,386.08 × 6,443.84
  4. Step 4: Simplify right side
    19,589.12x = 189,359,197.75
  5. Step 5: Solve for x
    x = 189,359,197.75/19,589.12
  6. Step 6: Final answer
    x = 9,666.55

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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.