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Finding the Fourth Proportional to 13,691, 18,886.02 and 9,206.84

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Solution

The fourth proportional to 13,691, 18,886.02 and 9,206.84 is: 12,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691 : 18,886.02 = 9,206.84 : x
  2. Step 2: Convert to fraction form
    13,691/18,886.02 = 9,206.84/x
  3. Step 3: Cross multiply
    13,691x = 18,886.02 × 9,206.84
  4. Step 4: Simplify right side
    13,691x = 173,880,564.38
  5. Step 5: Solve for x
    x = 173,880,564.38/13,691
  6. Step 6: Final answer
    x = 12,700.36

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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.