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Finding the Fourth Proportional to 20,782.66, 28,657.38 and 14,056.61

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Solution

The fourth proportional to 20,782.66, 28,657.38 and 14,056.61 is: 19,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.66 : 28,657.38 = 14,056.61 : x
  2. Step 2: Convert to fraction form
    20,782.66/28,657.38 = 14,056.61/x
  3. Step 3: Cross multiply
    20,782.66x = 28,657.38 × 14,056.61
  4. Step 4: Simplify right side
    20,782.66x = 402,825,614.28
  5. Step 5: Solve for x
    x = 402,825,614.28/20,782.66
  6. Step 6: Final answer
    x = 19,382.77

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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.