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Finding the Fourth Proportional to 23,232.76, 32,063.16 and 13,164.40

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Solution

The fourth proportional to 23,232.76, 32,063.16 and 13,164.40 is: 18,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.76 : 32,063.16 = 13,164.40 : x
  2. Step 2: Convert to fraction form
    23,232.76/32,063.16 = 13,164.40/x
  3. Step 3: Cross multiply
    23,232.76x = 32,063.16 × 13,164.40
  4. Step 4: Simplify right side
    23,232.76x = 422,092,263.50
  5. Step 5: Solve for x
    x = 422,092,263.50/23,232.76
  6. Step 6: Final answer
    x = 18,167.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.