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Finding the Fourth Proportional to 29,599.08, 40,846.82 and 17,023

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Solution

The fourth proportional to 29,599.08, 40,846.82 and 17,023 is: 23,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,599.08 : 40,846.82 = 17,023 : x
  2. Step 2: Convert to fraction form
    29,599.08/40,846.82 = 17,023/x
  3. Step 3: Cross multiply
    29,599.08x = 40,846.82 × 17,023
  4. Step 4: Simplify right side
    29,599.08x = 695,335,416.86
  5. Step 5: Solve for x
    x = 695,335,416.86/29,599.08
  6. Step 6: Final answer
    x = 23,491.79

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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.