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Finding the Fourth Proportional to 14,780, 22,175.52 and 6,017.12

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Solution

The fourth proportional to 14,780, 22,175.52 and 6,017.12 is: 9,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780 : 22,175.52 = 6,017.12 : x
  2. Step 2: Convert to fraction form
    14,780/22,175.52 = 6,017.12/x
  3. Step 3: Cross multiply
    14,780x = 22,175.52 × 6,017.12
  4. Step 4: Simplify right side
    14,780x = 133,432,764.90
  5. Step 5: Solve for x
    x = 133,432,764.90/14,780
  6. Step 6: Final answer
    x = 9,027.93

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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.