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Finding the Fourth Proportional to 23,477.10, 32,399.64 and 12,867.18

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Solution

The fourth proportional to 23,477.10, 32,399.64 and 12,867.18 is: 17,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.10 : 32,399.64 = 12,867.18 : x
  2. Step 2: Convert to fraction form
    23,477.10/32,399.64 = 12,867.18/x
  3. Step 3: Cross multiply
    23,477.10x = 32,399.64 × 12,867.18
  4. Step 4: Simplify right side
    23,477.10x = 416,891,999.82
  5. Step 5: Solve for x
    x = 416,891,999.82/23,477.10
  6. Step 6: Final answer
    x = 17,757.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.