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Finding the Fourth Proportional to 13,123.68, 19,667.08 and 7,185.32

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Solution

The fourth proportional to 13,123.68, 19,667.08 and 7,185.32 is: 10,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.68 : 19,667.08 = 7,185.32 : x
  2. Step 2: Convert to fraction form
    13,123.68/19,667.08 = 7,185.32/x
  3. Step 3: Cross multiply
    13,123.68x = 19,667.08 × 7,185.32
  4. Step 4: Simplify right side
    13,123.68x = 141,314,263.27
  5. Step 5: Solve for x
    x = 141,314,263.27/13,123.68
  6. Step 6: Final answer
    x = 10,767.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.