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Finding the Fourth Proportional to 18,029.17, 24,880.12 and 10,071.46

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Solution

The fourth proportional to 18,029.17, 24,880.12 and 10,071.46 is: 13,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029.17 : 24,880.12 = 10,071.46 : x
  2. Step 2: Convert to fraction form
    18,029.17/24,880.12 = 10,071.46/x
  3. Step 3: Cross multiply
    18,029.17x = 24,880.12 × 10,071.46
  4. Step 4: Simplify right side
    18,029.17x = 250,579,133.38
  5. Step 5: Solve for x
    x = 250,579,133.38/18,029.17
  6. Step 6: Final answer
    x = 13,898.54

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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.