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Finding the Fourth Proportional to 24,329.44, 36,514.66 and 9,548.74

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Solution

The fourth proportional to 24,329.44, 36,514.66 and 9,548.74 is: 14,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329.44 : 36,514.66 = 9,548.74 : x
  2. Step 2: Convert to fraction form
    24,329.44/36,514.66 = 9,548.74/x
  3. Step 3: Cross multiply
    24,329.44x = 36,514.66 × 9,548.74
  4. Step 4: Simplify right side
    24,329.44x = 348,668,842.24
  5. Step 5: Solve for x
    x = 348,668,842.24/24,329.44
  6. Step 6: Final answer
    x = 14,331.15

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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.