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Finding the Fourth Proportional to 14,470.94, 21,706.87 and 4,983.16

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Solution

The fourth proportional to 14,470.94, 21,706.87 and 4,983.16 is: 7,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.94 : 21,706.87 = 4,983.16 : x
  2. Step 2: Convert to fraction form
    14,470.94/21,706.87 = 4,983.16/x
  3. Step 3: Cross multiply
    14,470.94x = 21,706.87 × 4,983.16
  4. Step 4: Simplify right side
    14,470.94x = 108,168,806.31
  5. Step 5: Solve for x
    x = 108,168,806.31/14,470.94
  6. Step 6: Final answer
    x = 7,474.90

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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.