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Finding the Fourth Proportional to 24,119.34, 36,178.62 and 6,589.12

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Solution

The fourth proportional to 24,119.34, 36,178.62 and 6,589.12 is: 9,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,119.34 : 36,178.62 = 6,589.12 : x
  2. Step 2: Convert to fraction form
    24,119.34/36,178.62 = 6,589.12/x
  3. Step 3: Cross multiply
    24,119.34x = 36,178.62 × 6,589.12
  4. Step 4: Simplify right side
    24,119.34x = 238,385,268.61
  5. Step 5: Solve for x
    x = 238,385,268.61/24,119.34
  6. Step 6: Final answer
    x = 9,883.57

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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.