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Finding the Fourth Proportional to 24,514.42, 36,783.78 and 9,723.02

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Solution

The fourth proportional to 24,514.42, 36,783.78 and 9,723.02 is: 14,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.42 : 36,783.78 = 9,723.02 : x
  2. Step 2: Convert to fraction form
    24,514.42/36,783.78 = 9,723.02/x
  3. Step 3: Cross multiply
    24,514.42x = 36,783.78 × 9,723.02
  4. Step 4: Simplify right side
    24,514.42x = 357,649,428.62
  5. Step 5: Solve for x
    x = 357,649,428.62/24,514.42
  6. Step 6: Final answer
    x = 14,589.35

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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.