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Finding the Fourth Proportional to 12,732.16, 19,099.16 and 5,329.17

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Solution

The fourth proportional to 12,732.16, 19,099.16 and 5,329.17 is: 7,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.16 : 19,099.16 = 5,329.17 : x
  2. Step 2: Convert to fraction form
    12,732.16/19,099.16 = 5,329.17/x
  3. Step 3: Cross multiply
    12,732.16x = 19,099.16 × 5,329.17
  4. Step 4: Simplify right side
    12,732.16x = 101,782,670.50
  5. Step 5: Solve for x
    x = 101,782,670.50/12,732.16
  6. Step 6: Final answer
    x = 7,994.14

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Why These Related Problems?

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