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Finding the Fourth Proportional to 12,888.62, 17,785.42 and 7,222.40

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Solution

The fourth proportional to 12,888.62, 17,785.42 and 7,222.40 is: 9,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.62 : 17,785.42 = 7,222.40 : x
  2. Step 2: Convert to fraction form
    12,888.62/17,785.42 = 7,222.40/x
  3. Step 3: Cross multiply
    12,888.62x = 17,785.42 × 7,222.40
  4. Step 4: Simplify right side
    12,888.62x = 128,453,443.82
  5. Step 5: Solve for x
    x = 128,453,443.82/12,888.62
  6. Step 6: Final answer
    x = 9,966.42

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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.