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Finding the Fourth Proportional to 19,674.84, 29,511.36 and 7,988.16

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Solution

The fourth proportional to 19,674.84, 29,511.36 and 7,988.16 is: 11,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.84 : 29,511.36 = 7,988.16 : x
  2. Step 2: Convert to fraction form
    19,674.84/29,511.36 = 7,988.16/x
  3. Step 3: Cross multiply
    19,674.84x = 29,511.36 × 7,988.16
  4. Step 4: Simplify right side
    19,674.84x = 235,741,465.50
  5. Step 5: Solve for x
    x = 235,741,465.50/19,674.84
  6. Step 6: Final answer
    x = 11,981.87

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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.