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Finding the Fourth Proportional to 13,712.65, 20,564.71 and 4,946.42

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Solution

The fourth proportional to 13,712.65, 20,564.71 and 4,946.42 is: 7,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.65 : 20,564.71 = 4,946.42 : x
  2. Step 2: Convert to fraction form
    13,712.65/20,564.71 = 4,946.42/x
  3. Step 3: Cross multiply
    13,712.65x = 20,564.71 × 4,946.42
  4. Step 4: Simplify right side
    13,712.65x = 101,721,692.84
  5. Step 5: Solve for x
    x = 101,721,692.84/13,712.65
  6. Step 6: Final answer
    x = 7,418.09

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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.