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Finding the Fourth Proportional to 12,726.22, 19,089.08 and 5,228.18

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Solution

The fourth proportional to 12,726.22, 19,089.08 and 5,228.18 is: 7,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.22 : 19,089.08 = 5,228.18 : x
  2. Step 2: Convert to fraction form
    12,726.22/19,089.08 = 5,228.18/x
  3. Step 3: Cross multiply
    12,726.22x = 19,089.08 × 5,228.18
  4. Step 4: Simplify right side
    12,726.22x = 99,801,146.27
  5. Step 5: Solve for x
    x = 99,801,146.27/12,726.22
  6. Step 6: Final answer
    x = 7,842.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.