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Finding the Fourth Proportional to 23,309.17, 32,165.91 and 13,236.82

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Solution

The fourth proportional to 23,309.17, 32,165.91 and 13,236.82 is: 18,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.17 : 32,165.91 = 13,236.82 : x
  2. Step 2: Convert to fraction form
    23,309.17/32,165.91 = 13,236.82/x
  3. Step 3: Cross multiply
    23,309.17x = 32,165.91 × 13,236.82
  4. Step 4: Simplify right side
    23,309.17x = 425,774,280.39
  5. Step 5: Solve for x
    x = 425,774,280.39/23,309.17
  6. Step 6: Final answer
    x = 18,266.39

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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.