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Finding the Fourth Proportional to 16,356.31, 22,572.40 and 9,283.39

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Solution

The fourth proportional to 16,356.31, 22,572.40 and 9,283.39 is: 12,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.31 : 22,572.40 = 9,283.39 : x
  2. Step 2: Convert to fraction form
    16,356.31/22,572.40 = 9,283.39/x
  3. Step 3: Cross multiply
    16,356.31x = 22,572.40 × 9,283.39
  4. Step 4: Simplify right side
    16,356.31x = 209,548,392.44
  5. Step 5: Solve for x
    x = 209,548,392.44/16,356.31
  6. Step 6: Final answer
    x = 12,811.47

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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.