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Finding the Fourth Proportional to 13,135.81, 19,681.44 and 7,930.75

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Solution

The fourth proportional to 13,135.81, 19,681.44 and 7,930.75 is: 11,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.81 : 19,681.44 = 7,930.75 : x
  2. Step 2: Convert to fraction form
    13,135.81/19,681.44 = 7,930.75/x
  3. Step 3: Cross multiply
    13,135.81x = 19,681.44 × 7,930.75
  4. Step 4: Simplify right side
    13,135.81x = 156,088,580.28
  5. Step 5: Solve for x
    x = 156,088,580.28/13,135.81
  6. Step 6: Final answer
    x = 11,882.68

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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.