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Finding the Fourth Proportional to 22,865.44, 31,558.80 and 14,476

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Solution

The fourth proportional to 22,865.44, 31,558.80 and 14,476 is: 19,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.44 : 31,558.80 = 14,476 : x
  2. Step 2: Convert to fraction form
    22,865.44/31,558.80 = 14,476/x
  3. Step 3: Cross multiply
    22,865.44x = 31,558.80 × 14,476
  4. Step 4: Simplify right side
    22,865.44x = 456,845,188.80
  5. Step 5: Solve for x
    x = 456,845,188.80/22,865.44
  6. Step 6: Final answer
    x = 19,979.72

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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.