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Finding the Fourth Proportional to 23,085.52, 31,858 and 12,475.16

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Solution

The fourth proportional to 23,085.52, 31,858 and 12,475.16 is: 17,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.52 : 31,858 = 12,475.16 : x
  2. Step 2: Convert to fraction form
    23,085.52/31,858 = 12,475.16/x
  3. Step 3: Cross multiply
    23,085.52x = 31,858 × 12,475.16
  4. Step 4: Simplify right side
    23,085.52x = 397,433,647.28
  5. Step 5: Solve for x
    x = 397,433,647.28/23,085.52
  6. Step 6: Final answer
    x = 17,215.71

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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.