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Finding the Fourth Proportional to 20,802.80, 31,165.80 and 19,420.40

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Solution

The fourth proportional to 20,802.80, 31,165.80 and 19,420.40 is: 29,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.80 : 31,165.80 = 19,420.40 : x
  2. Step 2: Convert to fraction form
    20,802.80/31,165.80 = 19,420.40/x
  3. Step 3: Cross multiply
    20,802.80x = 31,165.80 × 19,420.40
  4. Step 4: Simplify right side
    20,802.80x = 605,252,302.32
  5. Step 5: Solve for x
    x = 605,252,302.32/20,802.80
  6. Step 6: Final answer
    x = 29,094.75

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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.