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Finding the Fourth Proportional to 22,487.51, 31,031.92 and 12,415.73

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Solution

The fourth proportional to 22,487.51, 31,031.92 and 12,415.73 is: 17,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.51 : 31,031.92 = 12,415.73 : x
  2. Step 2: Convert to fraction form
    22,487.51/31,031.92 = 12,415.73/x
  3. Step 3: Cross multiply
    22,487.51x = 31,031.92 × 12,415.73
  4. Step 4: Simplify right side
    22,487.51x = 385,283,940.10
  5. Step 5: Solve for x
    x = 385,283,940.10/22,487.51
  6. Step 6: Final answer
    x = 17,133.24

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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.