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Finding the Fourth Proportional to 13,507.29, 18,641.75 and 8,200.71

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Solution

The fourth proportional to 13,507.29, 18,641.75 and 8,200.71 is: 11,318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.29 : 18,641.75 = 8,200.71 : x
  2. Step 2: Convert to fraction form
    13,507.29/18,641.75 = 8,200.71/x
  3. Step 3: Cross multiply
    13,507.29x = 18,641.75 × 8,200.71
  4. Step 4: Simplify right side
    13,507.29x = 152,875,544.64
  5. Step 5: Solve for x
    x = 152,875,544.64/13,507.29
  6. Step 6: Final answer
    x = 11,318.00

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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.