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Finding the Fourth Proportional to 12,973.70, 17,902.49 and 7,667.48

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Solution

The fourth proportional to 12,973.70, 17,902.49 and 7,667.48 is: 10,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.70 : 17,902.49 = 7,667.48 : x
  2. Step 2: Convert to fraction form
    12,973.70/17,902.49 = 7,667.48/x
  3. Step 3: Cross multiply
    12,973.70x = 17,902.49 × 7,667.48
  4. Step 4: Simplify right side
    12,973.70x = 137,266,856.18
  5. Step 5: Solve for x
    x = 137,266,856.18/12,973.70
  6. Step 6: Final answer
    x = 10,580.40

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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.