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Finding the Fourth Proportional to 23,416.04, 32,313 and 13,344.92

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Solution

The fourth proportional to 23,416.04, 32,313 and 13,344.92 is: 18,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.04 : 32,313 = 13,344.92 : x
  2. Step 2: Convert to fraction form
    23,416.04/32,313 = 13,344.92/x
  3. Step 3: Cross multiply
    23,416.04x = 32,313 × 13,344.92
  4. Step 4: Simplify right side
    23,416.04x = 431,214,399.96
  5. Step 5: Solve for x
    x = 431,214,399.96/23,416.04
  6. Step 6: Final answer
    x = 18,415.34

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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.