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Finding the Fourth Proportional to 14,604.84, 21,894.11 and 5,242.65

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Solution

The fourth proportional to 14,604.84, 21,894.11 and 5,242.65 is: 7,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.84 : 21,894.11 = 5,242.65 : x
  2. Step 2: Convert to fraction form
    14,604.84/21,894.11 = 5,242.65/x
  3. Step 3: Cross multiply
    14,604.84x = 21,894.11 × 5,242.65
  4. Step 4: Simplify right side
    14,604.84x = 114,783,155.79
  5. Step 5: Solve for x
    x = 114,783,155.79/14,604.84
  6. Step 6: Final answer
    x = 7,859.25

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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.