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Finding the Fourth Proportional to 14,868, 22,304.84 and 5,984.04

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Solution

The fourth proportional to 14,868, 22,304.84 and 5,984.04 is: 8,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868 : 22,304.84 = 5,984.04 : x
  2. Step 2: Convert to fraction form
    14,868/22,304.84 = 5,984.04/x
  3. Step 3: Cross multiply
    14,868x = 22,304.84 × 5,984.04
  4. Step 4: Simplify right side
    14,868x = 133,473,054.75
  5. Step 5: Solve for x
    x = 133,473,054.75/14,868
  6. Step 6: Final answer
    x = 8,977.20

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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.