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Finding the Fourth Proportional to 24,314.67, 36,458.10 and 14,460.84

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Solution

The fourth proportional to 24,314.67, 36,458.10 and 14,460.84 is: 21,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.67 : 36,458.10 = 14,460.84 : x
  2. Step 2: Convert to fraction form
    24,314.67/36,458.10 = 14,460.84/x
  3. Step 3: Cross multiply
    24,314.67x = 36,458.10 × 14,460.84
  4. Step 4: Simplify right side
    24,314.67x = 527,214,750.80
  5. Step 5: Solve for x
    x = 527,214,750.80/24,314.67
  6. Step 6: Final answer
    x = 21,682.99

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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.