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Finding the Fourth Proportional to 16,393.50, 22,614.93 and 10,341

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Solution

The fourth proportional to 16,393.50, 22,614.93 and 10,341 is: 14,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,393.50 : 22,614.93 = 10,341 : x
  2. Step 2: Convert to fraction form
    16,393.50/22,614.93 = 10,341/x
  3. Step 3: Cross multiply
    16,393.50x = 22,614.93 × 10,341
  4. Step 4: Simplify right side
    16,393.50x = 233,860,991.13
  5. Step 5: Solve for x
    x = 233,860,991.13/16,393.50
  6. Step 6: Final answer
    x = 14,265.47

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1.5x scale

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.