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Finding the Fourth Proportional to 23,200, 34,802.72 and 17,393.52

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Solution

The fourth proportional to 23,200, 34,802.72 and 17,393.52 is: 26,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200 : 34,802.72 = 17,393.52 : x
  2. Step 2: Convert to fraction form
    23,200/34,802.72 = 17,393.52/x
  3. Step 3: Cross multiply
    23,200x = 34,802.72 × 17,393.52
  4. Step 4: Simplify right side
    23,200x = 605,341,806.37
  5. Step 5: Solve for x
    x = 605,341,806.37/23,200
  6. Step 6: Final answer
    x = 26,092.32

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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.