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Finding the Fourth Proportional to 22,742.88, 31,384.80 and 12,672

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Solution

The fourth proportional to 22,742.88, 31,384.80 and 12,672 is: 17,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.88 : 31,384.80 = 12,672 : x
  2. Step 2: Convert to fraction form
    22,742.88/31,384.80 = 12,672/x
  3. Step 3: Cross multiply
    22,742.88x = 31,384.80 × 12,672
  4. Step 4: Simplify right side
    22,742.88x = 397,708,185.60
  5. Step 5: Solve for x
    x = 397,708,185.60/22,742.88
  6. Step 6: Final answer
    x = 17,487.15

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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.