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Finding the Fourth Proportional to 29,689.36, 40,971.38 and 16,260.72

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Solution

The fourth proportional to 29,689.36, 40,971.38 and 16,260.72 is: 22,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.36 : 40,971.38 = 16,260.72 : x
  2. Step 2: Convert to fraction form
    29,689.36/40,971.38 = 16,260.72/x
  3. Step 3: Cross multiply
    29,689.36x = 40,971.38 × 16,260.72
  4. Step 4: Simplify right side
    29,689.36x = 666,224,138.19
  5. Step 5: Solve for x
    x = 666,224,138.19/29,689.36
  6. Step 6: Final answer
    x = 22,439.83

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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.