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Finding the Fourth Proportional to 19,793.70, 29,719.35 and 14,897.70

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Solution

The fourth proportional to 19,793.70, 29,719.35 and 14,897.70 is: 22,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.70 : 29,719.35 = 14,897.70 : x
  2. Step 2: Convert to fraction form
    19,793.70/29,719.35 = 14,897.70/x
  3. Step 3: Cross multiply
    19,793.70x = 29,719.35 × 14,897.70
  4. Step 4: Simplify right side
    19,793.70x = 442,749,960.50
  5. Step 5: Solve for x
    x = 442,749,960.50/19,793.70
  6. Step 6: Final answer
    x = 22,368.23

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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.