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Finding the Fourth Proportional to 14,922.12, 22,363.32 and 7,900.68

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Solution

The fourth proportional to 14,922.12, 22,363.32 and 7,900.68 is: 11,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.12 : 22,363.32 = 7,900.68 : x
  2. Step 2: Convert to fraction form
    14,922.12/22,363.32 = 7,900.68/x
  3. Step 3: Cross multiply
    14,922.12x = 22,363.32 × 7,900.68
  4. Step 4: Simplify right side
    14,922.12x = 176,685,435.06
  5. Step 5: Solve for x
    x = 176,685,435.06/14,922.12
  6. Step 6: Final answer
    x = 11,840.50

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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.