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Finding the Fourth Proportional to 24,458.82, 36,670.28 and 7,809.27

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Solution

The fourth proportional to 24,458.82, 36,670.28 and 7,809.27 is: 11,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.82 : 36,670.28 = 7,809.27 : x
  2. Step 2: Convert to fraction form
    24,458.82/36,670.28 = 7,809.27/x
  3. Step 3: Cross multiply
    24,458.82x = 36,670.28 × 7,809.27
  4. Step 4: Simplify right side
    24,458.82x = 286,368,078.45
  5. Step 5: Solve for x
    x = 286,368,078.45/24,458.82
  6. Step 6: Final answer
    x = 11,708.17

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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.