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Finding the Fourth Proportional to 22,356.29, 30,851.75 and 12,284.93

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Solution

The fourth proportional to 22,356.29, 30,851.75 and 12,284.93 is: 16,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.29 : 30,851.75 = 12,284.93 : x
  2. Step 2: Convert to fraction form
    22,356.29/30,851.75 = 12,284.93/x
  3. Step 3: Cross multiply
    22,356.29x = 30,851.75 × 12,284.93
  4. Step 4: Simplify right side
    22,356.29x = 379,011,589.13
  5. Step 5: Solve for x
    x = 379,011,589.13/22,356.29
  6. Step 6: Final answer
    x = 16,953.24

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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.