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Finding the Fourth Proportional to 29,716, 41,008.08 and 17,142.64

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Solution

The fourth proportional to 29,716, 41,008.08 and 17,142.64 is: 23,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716 : 41,008.08 = 17,142.64 : x
  2. Step 2: Convert to fraction form
    29,716/41,008.08 = 17,142.64/x
  3. Step 3: Cross multiply
    29,716x = 41,008.08 × 17,142.64
  4. Step 4: Simplify right side
    29,716x = 702,986,752.53
  5. Step 5: Solve for x
    x = 702,986,752.53/29,716
  6. Step 6: Final answer
    x = 23,656.84

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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.