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Finding the Fourth Proportional to 22,997.68, 31,730.25 and 12,925.06

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Solution

The fourth proportional to 22,997.68, 31,730.25 and 12,925.06 is: 17,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.68 : 31,730.25 = 12,925.06 : x
  2. Step 2: Convert to fraction form
    22,997.68/31,730.25 = 12,925.06/x
  3. Step 3: Cross multiply
    22,997.68x = 31,730.25 × 12,925.06
  4. Step 4: Simplify right side
    22,997.68x = 410,115,354.21
  5. Step 5: Solve for x
    x = 410,115,354.21/22,997.68
  6. Step 6: Final answer
    x = 17,832.90

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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.