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Finding the Fourth Proportional to 22,933.76, 31,659.74 and 14,448.20

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Solution

The fourth proportional to 22,933.76, 31,659.74 and 14,448.20 is: 19,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.76 : 31,659.74 = 14,448.20 : x
  2. Step 2: Convert to fraction form
    22,933.76/31,659.74 = 14,448.20/x
  3. Step 3: Cross multiply
    22,933.76x = 31,659.74 × 14,448.20
  4. Step 4: Simplify right side
    22,933.76x = 457,426,255.47
  5. Step 5: Solve for x
    x = 457,426,255.47/22,933.76
  6. Step 6: Final answer
    x = 19,945.54

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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.