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Finding the Fourth Proportional to 16,690.30, 23,031.03 and 9,974.59

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Solution

The fourth proportional to 16,690.30, 23,031.03 and 9,974.59 is: 13,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.30 : 23,031.03 = 9,974.59 : x
  2. Step 2: Convert to fraction form
    16,690.30/23,031.03 = 9,974.59/x
  3. Step 3: Cross multiply
    16,690.30x = 23,031.03 × 9,974.59
  4. Step 4: Simplify right side
    16,690.30x = 229,725,081.53
  5. Step 5: Solve for x
    x = 229,725,081.53/16,690.30
  6. Step 6: Final answer
    x = 13,763.99

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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.