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Finding the Fourth Proportional to 27,812.84, 38,275.62 and 22,392.68

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Solution

The fourth proportional to 27,812.84, 38,275.62 and 22,392.68 is: 30,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.84 : 38,275.62 = 22,392.68 : x
  2. Step 2: Convert to fraction form
    27,812.84/38,275.62 = 22,392.68/x
  3. Step 3: Cross multiply
    27,812.84x = 38,275.62 × 22,392.68
  4. Step 4: Simplify right side
    27,812.84x = 857,093,710.46
  5. Step 5: Solve for x
    x = 857,093,710.46/27,812.84
  6. Step 6: Final answer
    x = 30,816.48

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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.