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Finding the Fourth Proportional to 12,886.82, 17,785.06 and 7,222.53

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Solution

The fourth proportional to 12,886.82, 17,785.06 and 7,222.53 is: 9,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.82 : 17,785.06 = 7,222.53 : x
  2. Step 2: Convert to fraction form
    12,886.82/17,785.06 = 7,222.53/x
  3. Step 3: Cross multiply
    12,886.82x = 17,785.06 × 7,222.53
  4. Step 4: Simplify right side
    12,886.82x = 128,453,048.29
  5. Step 5: Solve for x
    x = 128,453,048.29/12,886.82
  6. Step 6: Final answer
    x = 9,967.78

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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.