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Finding the Fourth Proportional to 24,458.25, 36,662.52 and 9,646.83

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Solution

The fourth proportional to 24,458.25, 36,662.52 and 9,646.83 is: 14,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.25 : 36,662.52 = 9,646.83 : x
  2. Step 2: Convert to fraction form
    24,458.25/36,662.52 = 9,646.83/x
  3. Step 3: Cross multiply
    24,458.25x = 36,662.52 × 9,646.83
  4. Step 4: Simplify right side
    24,458.25x = 353,677,097.81
  5. Step 5: Solve for x
    x = 353,677,097.81/24,458.25
  6. Step 6: Final answer
    x = 14,460.44

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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.