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Finding the Fourth Proportional to 23,903.82, 32,994.80 and 16,347.27

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Solution

The fourth proportional to 23,903.82, 32,994.80 and 16,347.27 is: 22,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,903.82 : 32,994.80 = 16,347.27 : x
  2. Step 2: Convert to fraction form
    23,903.82/32,994.80 = 16,347.27/x
  3. Step 3: Cross multiply
    23,903.82x = 32,994.80 × 16,347.27
  4. Step 4: Simplify right side
    23,903.82x = 539,374,822.46
  5. Step 5: Solve for x
    x = 539,374,822.46/23,903.82
  6. Step 6: Final answer
    x = 22,564.38

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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.