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Finding the Fourth Proportional to 22,888.32, 31,586.66 and 12,817.64

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Solution

The fourth proportional to 22,888.32, 31,586.66 and 12,817.64 is: 17,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,888.32 : 31,586.66 = 12,817.64 : x
  2. Step 2: Convert to fraction form
    22,888.32/31,586.66 = 12,817.64/x
  3. Step 3: Cross multiply
    22,888.32x = 31,586.66 × 12,817.64
  4. Step 4: Simplify right side
    22,888.32x = 404,866,499.63
  5. Step 5: Solve for x
    x = 404,866,499.63/22,888.32
  6. Step 6: Final answer
    x = 17,688.78

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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.