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Finding the Fourth Proportional to 13,156, 19,743.72 and 6,230.50

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Solution

The fourth proportional to 13,156, 19,743.72 and 6,230.50 is: 9,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156 : 19,743.72 = 6,230.50 : x
  2. Step 2: Convert to fraction form
    13,156/19,743.72 = 6,230.50/x
  3. Step 3: Cross multiply
    13,156x = 19,743.72 × 6,230.50
  4. Step 4: Simplify right side
    13,156x = 123,013,247.46
  5. Step 5: Solve for x
    x = 123,013,247.46/13,156
  6. Step 6: Final answer
    x = 9,350.35

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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.