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Finding the Fourth Proportional to 14,917.06, 22,380.03 and 6,152.50

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Solution

The fourth proportional to 14,917.06, 22,380.03 and 6,152.50 is: 9,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.06 : 22,380.03 = 6,152.50 : x
  2. Step 2: Convert to fraction form
    14,917.06/22,380.03 = 6,152.50/x
  3. Step 3: Cross multiply
    14,917.06x = 22,380.03 × 6,152.50
  4. Step 4: Simplify right side
    14,917.06x = 137,693,134.58
  5. Step 5: Solve for x
    x = 137,693,134.58/14,917.06
  6. Step 6: Final answer
    x = 9,230.58

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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.