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Finding the Fourth Proportional to 20,677.50, 28,494 and 14,698.80

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Solution

The fourth proportional to 20,677.50, 28,494 and 14,698.80 is: 20,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677.50 : 28,494 = 14,698.80 : x
  2. Step 2: Convert to fraction form
    20,677.50/28,494 = 14,698.80/x
  3. Step 3: Cross multiply
    20,677.50x = 28,494 × 14,698.80
  4. Step 4: Simplify right side
    20,677.50x = 418,827,607.20
  5. Step 5: Solve for x
    x = 418,827,607.20/20,677.50
  6. Step 6: Final answer
    x = 20,255.23

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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.