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Finding the Fourth Proportional to 19,820.40, 29,730.60 and 5,780.40

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Solution

The fourth proportional to 19,820.40, 29,730.60 and 5,780.40 is: 8,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.40 : 29,730.60 = 5,780.40 : x
  2. Step 2: Convert to fraction form
    19,820.40/29,730.60 = 5,780.40/x
  3. Step 3: Cross multiply
    19,820.40x = 29,730.60 × 5,780.40
  4. Step 4: Simplify right side
    19,820.40x = 171,854,760.24
  5. Step 5: Solve for x
    x = 171,854,760.24/19,820.40
  6. Step 6: Final answer
    x = 8,670.60

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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.