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Finding the Fourth Proportional to 16,856.30, 23,266.32 and 9,785

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Solution

The fourth proportional to 16,856.30, 23,266.32 and 9,785 is: 13,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.30 : 23,266.32 = 9,785 : x
  2. Step 2: Convert to fraction form
    16,856.30/23,266.32 = 9,785/x
  3. Step 3: Cross multiply
    16,856.30x = 23,266.32 × 9,785
  4. Step 4: Simplify right side
    16,856.30x = 227,660,941.20
  5. Step 5: Solve for x
    x = 227,660,941.20/16,856.30
  6. Step 6: Final answer
    x = 13,505.99

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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.