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Finding the Fourth Proportional to 15,532.54, 23,296.16 and 7,633.02

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Solution

The fourth proportional to 15,532.54, 23,296.16 and 7,633.02 is: 11,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532.54 : 23,296.16 = 7,633.02 : x
  2. Step 2: Convert to fraction form
    15,532.54/23,296.16 = 7,633.02/x
  3. Step 3: Cross multiply
    15,532.54x = 23,296.16 × 7,633.02
  4. Step 4: Simplify right side
    15,532.54x = 177,820,055.20
  5. Step 5: Solve for x
    x = 177,820,055.20/15,532.54
  6. Step 6: Final answer
    x = 11,448.23

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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.