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Finding the Fourth Proportional to 13,174.59, 19,667.96 and 12,713.16

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Solution

The fourth proportional to 13,174.59, 19,667.96 and 12,713.16 is: 18,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.59 : 19,667.96 = 12,713.16 : x
  2. Step 2: Convert to fraction form
    13,174.59/19,667.96 = 12,713.16/x
  3. Step 3: Cross multiply
    13,174.59x = 19,667.96 × 12,713.16
  4. Step 4: Simplify right side
    13,174.59x = 250,041,922.35
  5. Step 5: Solve for x
    x = 250,041,922.35/13,174.59
  6. Step 6: Final answer
    x = 18,979.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.