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Finding the Fourth Proportional to 22,256.51, 30,716.82 and 12,825.14

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Solution

The fourth proportional to 22,256.51, 30,716.82 and 12,825.14 is: 17,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.51 : 30,716.82 = 12,825.14 : x
  2. Step 2: Convert to fraction form
    22,256.51/30,716.82 = 12,825.14/x
  3. Step 3: Cross multiply
    22,256.51x = 30,716.82 × 12,825.14
  4. Step 4: Simplify right side
    22,256.51x = 393,947,363.27
  5. Step 5: Solve for x
    x = 393,947,363.27/22,256.51
  6. Step 6: Final answer
    x = 17,700.32

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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.