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Finding the Fourth Proportional to 16,644.98, 22,967.35 and 9,838.06

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Solution

The fourth proportional to 16,644.98, 22,967.35 and 9,838.06 is: 13,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.98 : 22,967.35 = 9,838.06 : x
  2. Step 2: Convert to fraction form
    16,644.98/22,967.35 = 9,838.06/x
  3. Step 3: Cross multiply
    16,644.98x = 22,967.35 × 9,838.06
  4. Step 4: Simplify right side
    16,644.98x = 225,954,085.33
  5. Step 5: Solve for x
    x = 225,954,085.33/16,644.98
  6. Step 6: Final answer
    x = 13,574.91

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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.