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Finding the Fourth Proportional to 15,758, 21,745.80 and 8,684.24

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Solution

The fourth proportional to 15,758, 21,745.80 and 8,684.24 is: 11,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758 : 21,745.80 = 8,684.24 : x
  2. Step 2: Convert to fraction form
    15,758/21,745.80 = 8,684.24/x
  3. Step 3: Cross multiply
    15,758x = 21,745.80 × 8,684.24
  4. Step 4: Simplify right side
    15,758x = 188,845,746.19
  5. Step 5: Solve for x
    x = 188,845,746.19/15,758
  6. Step 6: Final answer
    x = 11,984.12

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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.