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Finding the Fourth Proportional to 14,864, 22,292.32 and 4,333.72

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Solution

The fourth proportional to 14,864, 22,292.32 and 4,333.72 is: 6,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864 : 22,292.32 = 4,333.72 : x
  2. Step 2: Convert to fraction form
    14,864/22,292.32 = 4,333.72/x
  3. Step 3: Cross multiply
    14,864x = 22,292.32 × 4,333.72
  4. Step 4: Simplify right side
    14,864x = 96,608,673.03
  5. Step 5: Solve for x
    x = 96,608,673.03/14,864
  6. Step 6: Final answer
    x = 6,499.51

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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.