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Finding the Fourth Proportional to 22,424.32, 30,939.06 and 14,471.20

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Solution

The fourth proportional to 22,424.32, 30,939.06 and 14,471.20 is: 19,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.32 : 30,939.06 = 14,471.20 : x
  2. Step 2: Convert to fraction form
    22,424.32/30,939.06 = 14,471.20/x
  3. Step 3: Cross multiply
    22,424.32x = 30,939.06 × 14,471.20
  4. Step 4: Simplify right side
    22,424.32x = 447,725,325.07
  5. Step 5: Solve for x
    x = 447,725,325.07/22,424.32
  6. Step 6: Final answer
    x = 19,966.06

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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.