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Finding the Fourth Proportional to 13,196.03, 18,206 and 7,526.70

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Solution

The fourth proportional to 13,196.03, 18,206 and 7,526.70 is: 10,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.03 : 18,206 = 7,526.70 : x
  2. Step 2: Convert to fraction form
    13,196.03/18,206 = 7,526.70/x
  3. Step 3: Cross multiply
    13,196.03x = 18,206 × 7,526.70
  4. Step 4: Simplify right side
    13,196.03x = 137,031,100.20
  5. Step 5: Solve for x
    x = 137,031,100.20/13,196.03
  6. Step 6: Final answer
    x = 10,384.27

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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.