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Finding the Fourth Proportional to 22,927.77, 31,642.20 and 13,498.20

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Solution

The fourth proportional to 22,927.77, 31,642.20 and 13,498.20 is: 18,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.77 : 31,642.20 = 13,498.20 : x
  2. Step 2: Convert to fraction form
    22,927.77/31,642.20 = 13,498.20/x
  3. Step 3: Cross multiply
    22,927.77x = 31,642.20 × 13,498.20
  4. Step 4: Simplify right side
    22,927.77x = 427,112,744.04
  5. Step 5: Solve for x
    x = 427,112,744.04/22,927.77
  6. Step 6: Final answer
    x = 18,628.62

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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.