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Finding the Fourth Proportional to 18,041.24, 24,896.88 and 10,492

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Solution

The fourth proportional to 18,041.24, 24,896.88 and 10,492 is: 14,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,041.24 : 24,896.88 = 10,492 : x
  2. Step 2: Convert to fraction form
    18,041.24/24,896.88 = 10,492/x
  3. Step 3: Cross multiply
    18,041.24x = 24,896.88 × 10,492
  4. Step 4: Simplify right side
    18,041.24x = 261,218,064.96
  5. Step 5: Solve for x
    x = 261,218,064.96/18,041.24
  6. Step 6: Final answer
    x = 14,478.94

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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.