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Finding the Fourth Proportional to 12,561.71, 17,334.47 and 7,256.41

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Solution

The fourth proportional to 12,561.71, 17,334.47 and 7,256.41 is: 10,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.71 : 17,334.47 = 7,256.41 : x
  2. Step 2: Convert to fraction form
    12,561.71/17,334.47 = 7,256.41/x
  3. Step 3: Cross multiply
    12,561.71x = 17,334.47 × 7,256.41
  4. Step 4: Simplify right side
    12,561.71x = 125,785,996.26
  5. Step 5: Solve for x
    x = 125,785,996.26/12,561.71
  6. Step 6: Final answer
    x = 10,013.45

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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.