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Finding the Fourth Proportional to 24,317.00, 36,473.60 and 7,677.53

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Solution

The fourth proportional to 24,317.00, 36,473.60 and 7,677.53 is: 11,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317.00 : 36,473.60 = 7,677.53 : x
  2. Step 2: Convert to fraction form
    24,317.00/36,473.60 = 7,677.53/x
  3. Step 3: Cross multiply
    24,317.00x = 36,473.60 × 7,677.53
  4. Step 4: Simplify right side
    24,317.00x = 280,026,995.03
  5. Step 5: Solve for x
    x = 280,026,995.03/24,317.00
  6. Step 6: Final answer
    x = 11,515.69

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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.