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Finding the Fourth Proportional to 29,214.32, 43,817.16 and 10,742

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Solution

The fourth proportional to 29,214.32, 43,817.16 and 10,742 is: 16,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214.32 : 43,817.16 = 10,742 : x
  2. Step 2: Convert to fraction form
    29,214.32/43,817.16 = 10,742/x
  3. Step 3: Cross multiply
    29,214.32x = 43,817.16 × 10,742
  4. Step 4: Simplify right side
    29,214.32x = 470,683,932.72
  5. Step 5: Solve for x
    x = 470,683,932.72/29,214.32
  6. Step 6: Final answer
    x = 16,111.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.