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Finding the Fourth Proportional to 12,806.19, 17,665.79 and 8,820.41

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Solution

The fourth proportional to 12,806.19, 17,665.79 and 8,820.41 is: 12,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.19 : 17,665.79 = 8,820.41 : x
  2. Step 2: Convert to fraction form
    12,806.19/17,665.79 = 8,820.41/x
  3. Step 3: Cross multiply
    12,806.19x = 17,665.79 × 8,820.41
  4. Step 4: Simplify right side
    12,806.19x = 155,819,378.34
  5. Step 5: Solve for x
    x = 155,819,378.34/12,806.19
  6. Step 6: Final answer
    x = 12,167.50

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1.5x scale

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.