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Finding the Fourth Proportional to 19,280.40, 28,931.40 and 8,185.20

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Solution

The fourth proportional to 19,280.40, 28,931.40 and 8,185.20 is: 12,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,280.40 : 28,931.40 = 8,185.20 : x
  2. Step 2: Convert to fraction form
    19,280.40/28,931.40 = 8,185.20/x
  3. Step 3: Cross multiply
    19,280.40x = 28,931.40 × 8,185.20
  4. Step 4: Simplify right side
    19,280.40x = 236,809,295.28
  5. Step 5: Solve for x
    x = 236,809,295.28/19,280.40
  6. Step 6: Final answer
    x = 12,282.38

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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.