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Finding the Fourth Proportional to 29,689.23, 40,971.60 and 16,260.24

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Solution

The fourth proportional to 29,689.23, 40,971.60 and 16,260.24 is: 22,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.23 : 40,971.60 = 16,260.24 : x
  2. Step 2: Convert to fraction form
    29,689.23/40,971.60 = 16,260.24/x
  3. Step 3: Cross multiply
    29,689.23x = 40,971.60 × 16,260.24
  4. Step 4: Simplify right side
    29,689.23x = 666,208,049.18
  5. Step 5: Solve for x
    x = 666,208,049.18/29,689.23
  6. Step 6: Final answer
    x = 22,439.38

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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.