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Finding the Fourth Proportional to 19,820.40, 29,730.60 and 19,705.20

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Solution

The fourth proportional to 19,820.40, 29,730.60 and 19,705.20 is: 29,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.40 : 29,730.60 = 19,705.20 : x
  2. Step 2: Convert to fraction form
    19,820.40/29,730.60 = 19,705.20/x
  3. Step 3: Cross multiply
    19,820.40x = 29,730.60 × 19,705.20
  4. Step 4: Simplify right side
    19,820.40x = 585,847,419.12
  5. Step 5: Solve for x
    x = 585,847,419.12/19,820.40
  6. Step 6: Final answer
    x = 29,557.80

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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.