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Finding the Fourth Proportional to 16,541.75, 24,806.42 and 6,009.17

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Solution

The fourth proportional to 16,541.75, 24,806.42 and 6,009.17 is: 9,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.75 : 24,806.42 = 6,009.17 : x
  2. Step 2: Convert to fraction form
    16,541.75/24,806.42 = 6,009.17/x
  3. Step 3: Cross multiply
    16,541.75x = 24,806.42 × 6,009.17
  4. Step 4: Simplify right side
    16,541.75x = 149,066,002.86
  5. Step 5: Solve for x
    x = 149,066,002.86/16,541.75
  6. Step 6: Final answer
    x = 9,011.50

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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.