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Finding the Fourth Proportional to 22,536.50, 31,101.81 and 12,600.50

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Solution

The fourth proportional to 22,536.50, 31,101.81 and 12,600.50 is: 17,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.50 : 31,101.81 = 12,600.50 : x
  2. Step 2: Convert to fraction form
    22,536.50/31,101.81 = 12,600.50/x
  3. Step 3: Cross multiply
    22,536.50x = 31,101.81 × 12,600.50
  4. Step 4: Simplify right side
    22,536.50x = 391,898,356.91
  5. Step 5: Solve for x
    x = 391,898,356.91/22,536.50
  6. Step 6: Final answer
    x = 17,389.50

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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.