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Finding the Fourth Proportional to 24,887.60, 34,344.88 and 13,709.60

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Solution

The fourth proportional to 24,887.60, 34,344.88 and 13,709.60 is: 18,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887.60 : 34,344.88 = 13,709.60 : x
  2. Step 2: Convert to fraction form
    24,887.60/34,344.88 = 13,709.60/x
  3. Step 3: Cross multiply
    24,887.60x = 34,344.88 × 13,709.60
  4. Step 4: Simplify right side
    24,887.60x = 470,854,566.85
  5. Step 5: Solve for x
    x = 470,854,566.85/24,887.60
  6. Step 6: Final answer
    x = 18,919.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.