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Finding the Fourth Proportional to 19,862.70, 29,815.65 and 11,114.70

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Solution

The fourth proportional to 19,862.70, 29,815.65 and 11,114.70 is: 16,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.70 : 29,815.65 = 11,114.70 : x
  2. Step 2: Convert to fraction form
    19,862.70/29,815.65 = 11,114.70/x
  3. Step 3: Cross multiply
    19,862.70x = 29,815.65 × 11,114.70
  4. Step 4: Simplify right side
    19,862.70x = 331,392,005.06
  5. Step 5: Solve for x
    x = 331,392,005.06/19,862.70
  6. Step 6: Final answer
    x = 16,684.14

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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.