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Finding the Fourth Proportional to 19,710.26, 27,200.16 and 14,678.80

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Solution

The fourth proportional to 19,710.26, 27,200.16 and 14,678.80 is: 20,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.26 : 27,200.16 = 14,678.80 : x
  2. Step 2: Convert to fraction form
    19,710.26/27,200.16 = 14,678.80/x
  3. Step 3: Cross multiply
    19,710.26x = 27,200.16 × 14,678.80
  4. Step 4: Simplify right side
    19,710.26x = 399,265,708.61
  5. Step 5: Solve for x
    x = 399,265,708.61/19,710.26
  6. Step 6: Final answer
    x = 20,256.74

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