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Finding the Fourth Proportional to 16,856.80, 23,267.01 and 9,785.50

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Solution

The fourth proportional to 16,856.80, 23,267.01 and 9,785.50 is: 13,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.80 : 23,267.01 = 9,785.50 : x
  2. Step 2: Convert to fraction form
    16,856.80/23,267.01 = 9,785.50/x
  3. Step 3: Cross multiply
    16,856.80x = 23,267.01 × 9,785.50
  4. Step 4: Simplify right side
    16,856.80x = 227,679,326.36
  5. Step 5: Solve for x
    x = 227,679,326.36/16,856.80
  6. Step 6: Final answer
    x = 13,506.68

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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.