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Finding the Fourth Proportional to 16,159.48, 22,298 and 9,084.54

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Solution

The fourth proportional to 16,159.48, 22,298 and 9,084.54 is: 12,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.48 : 22,298 = 9,084.54 : x
  2. Step 2: Convert to fraction form
    16,159.48/22,298 = 9,084.54/x
  3. Step 3: Cross multiply
    16,159.48x = 22,298 × 9,084.54
  4. Step 4: Simplify right side
    16,159.48x = 202,567,072.92
  5. Step 5: Solve for x
    x = 202,567,072.92/16,159.48
  6. Step 6: Final answer
    x = 12,535.49

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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.