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Finding the Fourth Proportional to 22,952.16, 31,664.16 and 16,997.76

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Solution

The fourth proportional to 22,952.16, 31,664.16 and 16,997.76 is: 23,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.16 : 31,664.16 = 16,997.76 : x
  2. Step 2: Convert to fraction form
    22,952.16/31,664.16 = 16,997.76/x
  3. Step 3: Cross multiply
    22,952.16x = 31,664.16 × 16,997.76
  4. Step 4: Simplify right side
    22,952.16x = 538,219,792.28
  5. Step 5: Solve for x
    x = 538,219,792.28/22,952.16
  6. Step 6: Final answer
    x = 23,449.64

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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.