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Finding the Fourth Proportional to 29,101.60, 40,165.44 and 17,164.24

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Solution

The fourth proportional to 29,101.60, 40,165.44 and 17,164.24 is: 23,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.60 : 40,165.44 = 17,164.24 : x
  2. Step 2: Convert to fraction form
    29,101.60/40,165.44 = 17,164.24/x
  3. Step 3: Cross multiply
    29,101.60x = 40,165.44 × 17,164.24
  4. Step 4: Simplify right side
    29,101.60x = 689,409,251.87
  5. Step 5: Solve for x
    x = 689,409,251.87/29,101.60
  6. Step 6: Final answer
    x = 23,689.74

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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.