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Finding the Fourth Proportional to 23,804.13, 35,694.73 and 8,801.16

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Solution

The fourth proportional to 23,804.13, 35,694.73 and 8,801.16 is: 13,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.13 : 35,694.73 = 8,801.16 : x
  2. Step 2: Convert to fraction form
    23,804.13/35,694.73 = 8,801.16/x
  3. Step 3: Cross multiply
    23,804.13x = 35,694.73 × 8,801.16
  4. Step 4: Simplify right side
    23,804.13x = 314,154,857.53
  5. Step 5: Solve for x
    x = 314,154,857.53/23,804.13
  6. Step 6: Final answer
    x = 13,197.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.