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Finding the Fourth Proportional to 15,937.52, 23,906.06 and 7,166.22

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Solution

The fourth proportional to 15,937.52, 23,906.06 and 7,166.22 is: 10,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937.52 : 23,906.06 = 7,166.22 : x
  2. Step 2: Convert to fraction form
    15,937.52/23,906.06 = 7,166.22/x
  3. Step 3: Cross multiply
    15,937.52x = 23,906.06 × 7,166.22
  4. Step 4: Simplify right side
    15,937.52x = 171,316,085.29
  5. Step 5: Solve for x
    x = 171,316,085.29/15,937.52
  6. Step 6: Final answer
    x = 10,749.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.