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Finding the Fourth Proportional to 22,306.51, 30,782.73 and 12,874.87

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Solution

The fourth proportional to 22,306.51, 30,782.73 and 12,874.87 is: 17,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.51 : 30,782.73 = 12,874.87 : x
  2. Step 2: Convert to fraction form
    22,306.51/30,782.73 = 12,874.87/x
  3. Step 3: Cross multiply
    22,306.51x = 30,782.73 × 12,874.87
  4. Step 4: Simplify right side
    22,306.51x = 396,323,647.00
  5. Step 5: Solve for x
    x = 396,323,647.00/22,306.51
  6. Step 6: Final answer
    x = 17,767.17

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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.