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Finding the Fourth Proportional to 14,310.42, 19,746.38 and 8,337.48

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Solution

The fourth proportional to 14,310.42, 19,746.38 and 8,337.48 is: 11,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.42 : 19,746.38 = 8,337.48 : x
  2. Step 2: Convert to fraction form
    14,310.42/19,746.38 = 8,337.48/x
  3. Step 3: Cross multiply
    14,310.42x = 19,746.38 × 8,337.48
  4. Step 4: Simplify right side
    14,310.42x = 164,635,006.64
  5. Step 5: Solve for x
    x = 164,635,006.64/14,310.42
  6. Step 6: Final answer
    x = 11,504.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.