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Finding the Fourth Proportional to 23,700.78, 32,709.60 and 13,629.66

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Solution

The fourth proportional to 23,700.78, 32,709.60 and 13,629.66 is: 18,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700.78 : 32,709.60 = 13,629.66 : x
  2. Step 2: Convert to fraction form
    23,700.78/32,709.60 = 13,629.66/x
  3. Step 3: Cross multiply
    23,700.78x = 32,709.60 × 13,629.66
  4. Step 4: Simplify right side
    23,700.78x = 445,820,726.74
  5. Step 5: Solve for x
    x = 445,820,726.74/23,700.78
  6. Step 6: Final answer
    x = 18,810.38

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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.