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Finding the Fourth Proportional to 14,578.76, 21,832.61 and 8,319.86

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Solution

The fourth proportional to 14,578.76, 21,832.61 and 8,319.86 is: 12,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.76 : 21,832.61 = 8,319.86 : x
  2. Step 2: Convert to fraction form
    14,578.76/21,832.61 = 8,319.86/x
  3. Step 3: Cross multiply
    14,578.76x = 21,832.61 × 8,319.86
  4. Step 4: Simplify right side
    14,578.76x = 181,644,189.74
  5. Step 5: Solve for x
    x = 181,644,189.74/14,578.76
  6. Step 6: Final answer
    x = 12,459.51

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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.