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Finding the Fourth Proportional to 19,952.66, 29,931.78 and 6,807.14

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Solution

The fourth proportional to 19,952.66, 29,931.78 and 6,807.14 is: 10,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.66 : 29,931.78 = 6,807.14 : x
  2. Step 2: Convert to fraction form
    19,952.66/29,931.78 = 6,807.14/x
  3. Step 3: Cross multiply
    19,952.66x = 29,931.78 × 6,807.14
  4. Step 4: Simplify right side
    19,952.66x = 203,749,816.91
  5. Step 5: Solve for x
    x = 203,749,816.91/19,952.66
  6. Step 6: Final answer
    x = 10,211.66

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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.