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Finding the Fourth Proportional to 20,802.80, 31,139.40 and 12,011.60

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Solution

The fourth proportional to 20,802.80, 31,139.40 and 12,011.60 is: 17,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.80 : 31,139.40 = 12,011.60 : x
  2. Step 2: Convert to fraction form
    20,802.80/31,139.40 = 12,011.60/x
  3. Step 3: Cross multiply
    20,802.80x = 31,139.40 × 12,011.60
  4. Step 4: Simplify right side
    20,802.80x = 374,034,017.04
  5. Step 5: Solve for x
    x = 374,034,017.04/20,802.80
  6. Step 6: Final answer
    x = 17,979.98

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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.