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Finding the Fourth Proportional to 16,206.48, 22,364.81 and 9,036.31

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Solution

The fourth proportional to 16,206.48, 22,364.81 and 9,036.31 is: 12,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.48 : 22,364.81 = 9,036.31 : x
  2. Step 2: Convert to fraction form
    16,206.48/22,364.81 = 9,036.31/x
  3. Step 3: Cross multiply
    16,206.48x = 22,364.81 × 9,036.31
  4. Step 4: Simplify right side
    16,206.48x = 202,095,356.25
  5. Step 5: Solve for x
    x = 202,095,356.25/16,206.48
  6. Step 6: Final answer
    x = 12,470.03

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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.