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Finding the Fourth Proportional to 22,642.82, 31,238.52 and 16,688.72

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Solution

The fourth proportional to 22,642.82, 31,238.52 and 16,688.72 is: 23,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.82 : 31,238.52 = 16,688.72 : x
  2. Step 2: Convert to fraction form
    22,642.82/31,238.52 = 16,688.72/x
  3. Step 3: Cross multiply
    22,642.82x = 31,238.52 × 16,688.72
  4. Step 4: Simplify right side
    22,642.82x = 521,330,913.49
  5. Step 5: Solve for x
    x = 521,330,913.49/22,642.82
  6. Step 6: Final answer
    x = 23,024.12

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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.