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Finding the Fourth Proportional to 20,709.40, 31,064.10 and 19,283.80

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Solution

The fourth proportional to 20,709.40, 31,064.10 and 19,283.80 is: 28,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.40 : 31,064.10 = 19,283.80 : x
  2. Step 2: Convert to fraction form
    20,709.40/31,064.10 = 19,283.80/x
  3. Step 3: Cross multiply
    20,709.40x = 31,064.10 × 19,283.80
  4. Step 4: Simplify right side
    20,709.40x = 599,033,891.58
  5. Step 5: Solve for x
    x = 599,033,891.58/20,709.40
  6. Step 6: Final answer
    x = 28,925.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.