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Finding the Fourth Proportional to 19,497.50, 29,251.13 and 11,186.90

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Solution

The fourth proportional to 19,497.50, 29,251.13 and 11,186.90 is: 16,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.50 : 29,251.13 = 11,186.90 : x
  2. Step 2: Convert to fraction form
    19,497.50/29,251.13 = 11,186.90/x
  3. Step 3: Cross multiply
    19,497.50x = 29,251.13 × 11,186.90
  4. Step 4: Simplify right side
    19,497.50x = 327,229,264.01
  5. Step 5: Solve for x
    x = 327,229,264.01/19,497.50
  6. Step 6: Final answer
    x = 16,783.14

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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.