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Finding the Fourth Proportional to 15,696.65, 23,542.36 and 5,166.79

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Solution

The fourth proportional to 15,696.65, 23,542.36 and 5,166.79 is: 7,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.65 : 23,542.36 = 5,166.79 : x
  2. Step 2: Convert to fraction form
    15,696.65/23,542.36 = 5,166.79/x
  3. Step 3: Cross multiply
    15,696.65x = 23,542.36 × 5,166.79
  4. Step 4: Simplify right side
    15,696.65x = 121,638,430.22
  5. Step 5: Solve for x
    x = 121,638,430.22/15,696.65
  6. Step 6: Final answer
    x = 7,749.32

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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.