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Finding the Fourth Proportional to 19,883, 27,438.54 and 11,500.04

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Solution

The fourth proportional to 19,883, 27,438.54 and 11,500.04 is: 15,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883 : 27,438.54 = 11,500.04 : x
  2. Step 2: Convert to fraction form
    19,883/27,438.54 = 11,500.04/x
  3. Step 3: Cross multiply
    19,883x = 27,438.54 × 11,500.04
  4. Step 4: Simplify right side
    19,883x = 315,544,307.54
  5. Step 5: Solve for x
    x = 315,544,307.54/19,883
  6. Step 6: Final answer
    x = 15,870.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.