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Finding the Fourth Proportional to 19,740.32, 29,610.42 and 4,949.20

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Solution

The fourth proportional to 19,740.32, 29,610.42 and 4,949.20 is: 7,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740.32 : 29,610.42 = 4,949.20 : x
  2. Step 2: Convert to fraction form
    19,740.32/29,610.42 = 4,949.20/x
  3. Step 3: Cross multiply
    19,740.32x = 29,610.42 × 4,949.20
  4. Step 4: Simplify right side
    19,740.32x = 146,547,890.66
  5. Step 5: Solve for x
    x = 146,547,890.66/19,740.32
  6. Step 6: Final answer
    x = 7,423.78

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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.