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Finding the Fourth Proportional to 14,398.86, 21,585.59 and 5,627.64

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Solution

The fourth proportional to 14,398.86, 21,585.59 and 5,627.64 is: 8,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.86 : 21,585.59 = 5,627.64 : x
  2. Step 2: Convert to fraction form
    14,398.86/21,585.59 = 5,627.64/x
  3. Step 3: Cross multiply
    14,398.86x = 21,585.59 × 5,627.64
  4. Step 4: Simplify right side
    14,398.86x = 121,476,003.62
  5. Step 5: Solve for x
    x = 121,476,003.62/14,398.86
  6. Step 6: Final answer
    x = 8,436.50

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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.