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Finding the Fourth Proportional to 19,886.66, 29,823.03 and 6,735.14

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Solution

The fourth proportional to 19,886.66, 29,823.03 and 6,735.14 is: 10,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.66 : 29,823.03 = 6,735.14 : x
  2. Step 2: Convert to fraction form
    19,886.66/29,823.03 = 6,735.14/x
  3. Step 3: Cross multiply
    19,886.66x = 29,823.03 × 6,735.14
  4. Step 4: Simplify right side
    19,886.66x = 200,862,282.27
  5. Step 5: Solve for x
    x = 200,862,282.27/19,886.66
  6. Step 6: Final answer
    x = 10,100.35

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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.