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Finding the Fourth Proportional to 12,881.50, 19,322.25 and 3,153.50

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Solution

The fourth proportional to 12,881.50, 19,322.25 and 3,153.50 is: 4,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.50 : 19,322.25 = 3,153.50 : x
  2. Step 2: Convert to fraction form
    12,881.50/19,322.25 = 3,153.50/x
  3. Step 3: Cross multiply
    12,881.50x = 19,322.25 × 3,153.50
  4. Step 4: Simplify right side
    12,881.50x = 60,932,715.38
  5. Step 5: Solve for x
    x = 60,932,715.38/12,881.50
  6. Step 6: Final answer
    x = 4,730.25

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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.