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Finding the Fourth Proportional to 22,471.66, 31,005.36 and 13,738.12

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Solution

The fourth proportional to 22,471.66, 31,005.36 and 13,738.12 is: 18,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.66 : 31,005.36 = 13,738.12 : x
  2. Step 2: Convert to fraction form
    22,471.66/31,005.36 = 13,738.12/x
  3. Step 3: Cross multiply
    22,471.66x = 31,005.36 × 13,738.12
  4. Step 4: Simplify right side
    22,471.66x = 425,955,356.32
  5. Step 5: Solve for x
    x = 425,955,356.32/22,471.66
  6. Step 6: Final answer
    x = 18,955.22

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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.