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Finding the Fourth Proportional to 24,806.04, 37,211.40 and 8,166.24

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Solution

The fourth proportional to 24,806.04, 37,211.40 and 8,166.24 is: 12,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.04 : 37,211.40 = 8,166.24 : x
  2. Step 2: Convert to fraction form
    24,806.04/37,211.40 = 8,166.24/x
  3. Step 3: Cross multiply
    24,806.04x = 37,211.40 × 8,166.24
  4. Step 4: Simplify right side
    24,806.04x = 303,877,223.14
  5. Step 5: Solve for x
    x = 303,877,223.14/24,806.04
  6. Step 6: Final answer
    x = 12,250.13

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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.