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Finding the Fourth Proportional to 24,464.00, 36,675.27 and 9,683.34

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Solution

The fourth proportional to 24,464.00, 36,675.27 and 9,683.34 is: 14,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.00 : 36,675.27 = 9,683.34 : x
  2. Step 2: Convert to fraction form
    24,464.00/36,675.27 = 9,683.34/x
  3. Step 3: Cross multiply
    24,464.00x = 36,675.27 × 9,683.34
  4. Step 4: Simplify right side
    24,464.00x = 355,139,109.00
  5. Step 5: Solve for x
    x = 355,139,109.00/24,464.00
  6. Step 6: Final answer
    x = 14,516.81

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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.