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Finding the Fourth Proportional to 24,284.64, 36,417.38 and 11,800.97

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Solution

The fourth proportional to 24,284.64, 36,417.38 and 11,800.97 is: 17,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.64 : 36,417.38 = 11,800.97 : x
  2. Step 2: Convert to fraction form
    24,284.64/36,417.38 = 11,800.97/x
  3. Step 3: Cross multiply
    24,284.64x = 36,417.38 × 11,800.97
  4. Step 4: Simplify right side
    24,284.64x = 429,760,408.86
  5. Step 5: Solve for x
    x = 429,760,408.86/24,284.64
  6. Step 6: Final answer
    x = 17,696.80

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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.