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Finding the Fourth Proportional to 20,681.50, 31,019.18 and 7,533.87

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Solution

The fourth proportional to 20,681.50, 31,019.18 and 7,533.87 is: 11,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,681.50 : 31,019.18 = 7,533.87 : x
  2. Step 2: Convert to fraction form
    20,681.50/31,019.18 = 7,533.87/x
  3. Step 3: Cross multiply
    20,681.50x = 31,019.18 × 7,533.87
  4. Step 4: Simplify right side
    20,681.50x = 233,694,554.93
  5. Step 5: Solve for x
    x = 233,694,554.93/20,681.50
  6. Step 6: Final answer
    x = 11,299.69

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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.