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Finding the Fourth Proportional to 23,105.32, 31,884.02 and 13,033.16

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Solution

The fourth proportional to 23,105.32, 31,884.02 and 13,033.16 is: 17,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.32 : 31,884.02 = 13,033.16 : x
  2. Step 2: Convert to fraction form
    23,105.32/31,884.02 = 13,033.16/x
  3. Step 3: Cross multiply
    23,105.32x = 31,884.02 × 13,033.16
  4. Step 4: Simplify right side
    23,105.32x = 415,549,468.94
  5. Step 5: Solve for x
    x = 415,549,468.94/23,105.32
  6. Step 6: Final answer
    x = 17,985.02

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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.