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Finding the Fourth Proportional to 29,509.08, 40,723.89 and 17,410.02

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Solution

The fourth proportional to 29,509.08, 40,723.89 and 17,410.02 is: 24,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.08 : 40,723.89 = 17,410.02 : x
  2. Step 2: Convert to fraction form
    29,509.08/40,723.89 = 17,410.02/x
  3. Step 3: Cross multiply
    29,509.08x = 40,723.89 × 17,410.02
  4. Step 4: Simplify right side
    29,509.08x = 709,003,739.38
  5. Step 5: Solve for x
    x = 709,003,739.38/29,509.08
  6. Step 6: Final answer
    x = 24,026.63

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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.