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Finding the Fourth Proportional to 12,888.28, 17,785.80 and 7,223.07

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Solution

The fourth proportional to 12,888.28, 17,785.80 and 7,223.07 is: 9,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.28 : 17,785.80 = 7,223.07 : x
  2. Step 2: Convert to fraction form
    12,888.28/17,785.80 = 7,223.07/x
  3. Step 3: Cross multiply
    12,888.28x = 17,785.80 × 7,223.07
  4. Step 4: Simplify right side
    12,888.28x = 128,468,078.41
  5. Step 5: Solve for x
    x = 128,468,078.41/12,888.28
  6. Step 6: Final answer
    x = 9,967.82

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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.