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Finding the Fourth Proportional to 15,852.71, 21,871.79 and 9,137.42

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Solution

The fourth proportional to 15,852.71, 21,871.79 and 9,137.42 is: 12,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.71 : 21,871.79 = 9,137.42 : x
  2. Step 2: Convert to fraction form
    15,852.71/21,871.79 = 9,137.42/x
  3. Step 3: Cross multiply
    15,852.71x = 21,871.79 × 9,137.42
  4. Step 4: Simplify right side
    15,852.71x = 199,851,685.69
  5. Step 5: Solve for x
    x = 199,851,685.69/15,852.71
  6. Step 6: Final answer
    x = 12,606.78

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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.