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Finding the Fourth Proportional to 22,356.31, 30,851.80 and 12,284.97

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Solution

The fourth proportional to 22,356.31, 30,851.80 and 12,284.97 is: 16,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.31 : 30,851.80 = 12,284.97 : x
  2. Step 2: Convert to fraction form
    22,356.31/30,851.80 = 12,284.97/x
  3. Step 3: Cross multiply
    22,356.31x = 30,851.80 × 12,284.97
  4. Step 4: Simplify right side
    22,356.31x = 379,013,437.45
  5. Step 5: Solve for x
    x = 379,013,437.45/22,356.31
  6. Step 6: Final answer
    x = 16,953.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.