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Finding the Fourth Proportional to 13,074.71, 18,045.71 and 8,300.34

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Solution

The fourth proportional to 13,074.71, 18,045.71 and 8,300.34 is: 11,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.71 : 18,045.71 = 8,300.34 : x
  2. Step 2: Convert to fraction form
    13,074.71/18,045.71 = 8,300.34/x
  3. Step 3: Cross multiply
    13,074.71x = 18,045.71 × 8,300.34
  4. Step 4: Simplify right side
    13,074.71x = 149,785,487.04
  5. Step 5: Solve for x
    x = 149,785,487.04/13,074.71
  6. Step 6: Final answer
    x = 11,456.13

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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.