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Finding the Fourth Proportional to 29,568.96, 40,814.64 and 17,002.08

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Solution

The fourth proportional to 29,568.96, 40,814.64 and 17,002.08 is: 23,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568.96 : 40,814.64 = 17,002.08 : x
  2. Step 2: Convert to fraction form
    29,568.96/40,814.64 = 17,002.08/x
  3. Step 3: Cross multiply
    29,568.96x = 40,814.64 × 17,002.08
  4. Step 4: Simplify right side
    29,568.96x = 693,933,774.45
  5. Step 5: Solve for x
    x = 693,933,774.45/29,568.96
  6. Step 6: Final answer
    x = 23,468.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.