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Finding the Fourth Proportional to 19,913.28, 29,870.99 and 5,122.32

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Solution

The fourth proportional to 19,913.28, 29,870.99 and 5,122.32 is: 7,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913.28 : 29,870.99 = 5,122.32 : x
  2. Step 2: Convert to fraction form
    19,913.28/29,870.99 = 5,122.32/x
  3. Step 3: Cross multiply
    19,913.28x = 29,870.99 × 5,122.32
  4. Step 4: Simplify right side
    19,913.28x = 153,008,769.50
  5. Step 5: Solve for x
    x = 153,008,769.50/19,913.28
  6. Step 6: Final answer
    x = 7,683.76

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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.