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Finding the Fourth Proportional to 12,970.56, 17,901.84 and 7,667.04

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Solution

The fourth proportional to 12,970.56, 17,901.84 and 7,667.04 is: 10,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.56 : 17,901.84 = 7,667.04 : x
  2. Step 2: Convert to fraction form
    12,970.56/17,901.84 = 7,667.04/x
  3. Step 3: Cross multiply
    12,970.56x = 17,901.84 × 7,667.04
  4. Step 4: Simplify right side
    12,970.56x = 137,254,123.35
  5. Step 5: Solve for x
    x = 137,254,123.35/12,970.56
  6. Step 6: Final answer
    x = 10,581.97

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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.