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Finding the Fourth Proportional to 16,847.30, 23,253.90 and 9,776

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Solution

The fourth proportional to 16,847.30, 23,253.90 and 9,776 is: 13,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847.30 : 23,253.90 = 9,776 : x
  2. Step 2: Convert to fraction form
    16,847.30/23,253.90 = 9,776/x
  3. Step 3: Cross multiply
    16,847.30x = 23,253.90 × 9,776
  4. Step 4: Simplify right side
    16,847.30x = 227,330,126.40
  5. Step 5: Solve for x
    x = 227,330,126.40/16,847.30
  6. Step 6: Final answer
    x = 13,493.56

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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.