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Finding the Fourth Proportional to 23,495.64, 32,419.28 and 13,427.39

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Solution

The fourth proportional to 23,495.64, 32,419.28 and 13,427.39 is: 18,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,495.64 : 32,419.28 = 13,427.39 : x
  2. Step 2: Convert to fraction form
    23,495.64/32,419.28 = 13,427.39/x
  3. Step 3: Cross multiply
    23,495.64x = 32,419.28 × 13,427.39
  4. Step 4: Simplify right side
    23,495.64x = 435,306,086.85
  5. Step 5: Solve for x
    x = 435,306,086.85/23,495.64
  6. Step 6: Final answer
    x = 18,527.10

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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.