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Finding the Fourth Proportional to 14,016.71, 21,037.37 and 7,783.76

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Solution

The fourth proportional to 14,016.71, 21,037.37 and 7,783.76 is: 11,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.71 : 21,037.37 = 7,783.76 : x
  2. Step 2: Convert to fraction form
    14,016.71/21,037.37 = 7,783.76/x
  3. Step 3: Cross multiply
    14,016.71x = 21,037.37 × 7,783.76
  4. Step 4: Simplify right side
    14,016.71x = 163,749,896.57
  5. Step 5: Solve for x
    x = 163,749,896.57/14,016.71
  6. Step 6: Final answer
    x = 11,682.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.