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Finding the Fourth Proportional to 22,832.54, 31,507.74 and 12,759.02

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Solution

The fourth proportional to 22,832.54, 31,507.74 and 12,759.02 is: 17,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.54 : 31,507.74 = 12,759.02 : x
  2. Step 2: Convert to fraction form
    22,832.54/31,507.74 = 12,759.02/x
  3. Step 3: Cross multiply
    22,832.54x = 31,507.74 × 12,759.02
  4. Step 4: Simplify right side
    22,832.54x = 402,007,663.48
  5. Step 5: Solve for x
    x = 402,007,663.48/22,832.54
  6. Step 6: Final answer
    x = 17,606.79

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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.