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Finding the Fourth Proportional to 16,889, 23,306.82 and 9,437

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Solution

The fourth proportional to 16,889, 23,306.82 and 9,437 is: 13,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889 : 23,306.82 = 9,437 : x
  2. Step 2: Convert to fraction form
    16,889/23,306.82 = 9,437/x
  3. Step 3: Cross multiply
    16,889x = 23,306.82 × 9,437
  4. Step 4: Simplify right side
    16,889x = 219,946,460.34
  5. Step 5: Solve for x
    x = 219,946,460.34/16,889
  6. Step 6: Final answer
    x = 13,023.06

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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.