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Finding the Fourth Proportional to 15,983.48, 22,046.91 and 10,605.80

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Solution

The fourth proportional to 15,983.48, 22,046.91 and 10,605.80 is: 14,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.48 : 22,046.91 = 10,605.80 : x
  2. Step 2: Convert to fraction form
    15,983.48/22,046.91 = 10,605.80/x
  3. Step 3: Cross multiply
    15,983.48x = 22,046.91 × 10,605.80
  4. Step 4: Simplify right side
    15,983.48x = 233,825,118.08
  5. Step 5: Solve for x
    x = 233,825,118.08/15,983.48
  6. Step 6: Final answer
    x = 14,629.17

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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.