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Finding the Fourth Proportional to 14,052.86, 21,092.04 and 7,484.57

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Solution

The fourth proportional to 14,052.86, 21,092.04 and 7,484.57 is: 11,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.86 : 21,092.04 = 7,484.57 : x
  2. Step 2: Convert to fraction form
    14,052.86/21,092.04 = 7,484.57/x
  3. Step 3: Cross multiply
    14,052.86x = 21,092.04 × 7,484.57
  4. Step 4: Simplify right side
    14,052.86x = 157,864,744.36
  5. Step 5: Solve for x
    x = 157,864,744.36/14,052.86
  6. Step 6: Final answer
    x = 11,233.64

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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.