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Finding the Fourth Proportional to 15,735.25, 21,715.59 and 8,661.52

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Solution

The fourth proportional to 15,735.25, 21,715.59 and 8,661.52 is: 11,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.25 : 21,715.59 = 8,661.52 : x
  2. Step 2: Convert to fraction form
    15,735.25/21,715.59 = 8,661.52/x
  3. Step 3: Cross multiply
    15,735.25x = 21,715.59 × 8,661.52
  4. Step 4: Simplify right side
    15,735.25x = 188,090,017.10
  5. Step 5: Solve for x
    x = 188,090,017.10/15,735.25
  6. Step 6: Final answer
    x = 11,953.42

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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.