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Finding the Fourth Proportional to 23,828.61, 32,883.63 and 13,757.46

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Solution

The fourth proportional to 23,828.61, 32,883.63 and 13,757.46 is: 18,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.61 : 32,883.63 = 13,757.46 : x
  2. Step 2: Convert to fraction form
    23,828.61/32,883.63 = 13,757.46/x
  3. Step 3: Cross multiply
    23,828.61x = 32,883.63 × 13,757.46
  4. Step 4: Simplify right side
    23,828.61x = 452,395,224.38
  5. Step 5: Solve for x
    x = 452,395,224.38/23,828.61
  6. Step 6: Final answer
    x = 18,985.38

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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.