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Finding the Fourth Proportional to 24,461.04, 36,674.52 and 11,803.14

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Solution

The fourth proportional to 24,461.04, 36,674.52 and 11,803.14 is: 17,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.04 : 36,674.52 = 11,803.14 : x
  2. Step 2: Convert to fraction form
    24,461.04/36,674.52 = 11,803.14/x
  3. Step 3: Cross multiply
    24,461.04x = 36,674.52 × 11,803.14
  4. Step 4: Simplify right side
    24,461.04x = 432,874,493.99
  5. Step 5: Solve for x
    x = 432,874,493.99/24,461.04
  6. Step 6: Final answer
    x = 17,696.49

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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.