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Finding the Fourth Proportional to 13,709.34, 18,917.01 and 8,045.46

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Solution

The fourth proportional to 13,709.34, 18,917.01 and 8,045.46 is: 11,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.34 : 18,917.01 = 8,045.46 : x
  2. Step 2: Convert to fraction form
    13,709.34/18,917.01 = 8,045.46/x
  3. Step 3: Cross multiply
    13,709.34x = 18,917.01 × 8,045.46
  4. Step 4: Simplify right side
    13,709.34x = 152,196,047.27
  5. Step 5: Solve for x
    x = 152,196,047.27/13,709.34
  6. Step 6: Final answer
    x = 11,101.63

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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.