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Finding the Fourth Proportional to 22,731.30, 31,365.63 and 12,656.52

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Solution

The fourth proportional to 22,731.30, 31,365.63 and 12,656.52 is: 17,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.30 : 31,365.63 = 12,656.52 : x
  2. Step 2: Convert to fraction form
    22,731.30/31,365.63 = 12,656.52/x
  3. Step 3: Cross multiply
    22,731.30x = 31,365.63 × 12,656.52
  4. Step 4: Simplify right side
    22,731.30x = 396,979,723.41
  5. Step 5: Solve for x
    x = 396,979,723.41/22,731.30
  6. Step 6: Final answer
    x = 17,464.01

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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.