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Finding the Fourth Proportional to 24,355.86, 36,519.68 and 9,547.44

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Solution

The fourth proportional to 24,355.86, 36,519.68 and 9,547.44 is: 14,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,355.86 : 36,519.68 = 9,547.44 : x
  2. Step 2: Convert to fraction form
    24,355.86/36,519.68 = 9,547.44/x
  3. Step 3: Cross multiply
    24,355.86x = 36,519.68 × 9,547.44
  4. Step 4: Simplify right side
    24,355.86x = 348,669,453.62
  5. Step 5: Solve for x
    x = 348,669,453.62/24,355.86
  6. Step 6: Final answer
    x = 14,315.63

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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.