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Finding the Fourth Proportional to 15,713.83, 23,538.91 and 7,268.34

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Solution

The fourth proportional to 15,713.83, 23,538.91 and 7,268.34 is: 10,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.83 : 23,538.91 = 7,268.34 : x
  2. Step 2: Convert to fraction form
    15,713.83/23,538.91 = 7,268.34/x
  3. Step 3: Cross multiply
    15,713.83x = 23,538.91 × 7,268.34
  4. Step 4: Simplify right side
    15,713.83x = 171,088,801.11
  5. Step 5: Solve for x
    x = 171,088,801.11/15,713.83
  6. Step 6: Final answer
    x = 10,887.78

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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.