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Finding the Fourth Proportional to 12,931.32, 19,405.49 and 7,092.03

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Solution

The fourth proportional to 12,931.32, 19,405.49 and 7,092.03 is: 10,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.32 : 19,405.49 = 7,092.03 : x
  2. Step 2: Convert to fraction form
    12,931.32/19,405.49 = 7,092.03/x
  3. Step 3: Cross multiply
    12,931.32x = 19,405.49 × 7,092.03
  4. Step 4: Simplify right side
    12,931.32x = 137,624,365.76
  5. Step 5: Solve for x
    x = 137,624,365.76/12,931.32
  6. Step 6: Final answer
    x = 10,642.71

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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.