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Finding the Fourth Proportional to 24,801.57, 37,204.38 and 11,646.77

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Solution

The fourth proportional to 24,801.57, 37,204.38 and 11,646.77 is: 17,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.57 : 37,204.38 = 11,646.77 : x
  2. Step 2: Convert to fraction form
    24,801.57/37,204.38 = 11,646.77/x
  3. Step 3: Cross multiply
    24,801.57x = 37,204.38 × 11,646.77
  4. Step 4: Simplify right side
    24,801.57x = 433,310,670.83
  5. Step 5: Solve for x
    x = 433,310,670.83/24,801.57
  6. Step 6: Final answer
    x = 17,471.10

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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.