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Finding the Fourth Proportional to 22,463.24, 31,009.24 and 14,509.35

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Solution

The fourth proportional to 22,463.24, 31,009.24 and 14,509.35 is: 20,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.24 : 31,009.24 = 14,509.35 : x
  2. Step 2: Convert to fraction form
    22,463.24/31,009.24 = 14,509.35/x
  3. Step 3: Cross multiply
    22,463.24x = 31,009.24 × 14,509.35
  4. Step 4: Simplify right side
    22,463.24x = 449,923,688.80
  5. Step 5: Solve for x
    x = 449,923,688.80/22,463.24
  6. Step 6: Final answer
    x = 20,029.33

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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.