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Finding the Fourth Proportional to 19,980.45, 29,970.68 and 5,188.13

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Solution

The fourth proportional to 19,980.45, 29,970.68 and 5,188.13 is: 7,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.45 : 29,970.68 = 5,188.13 : x
  2. Step 2: Convert to fraction form
    19,980.45/29,970.68 = 5,188.13/x
  3. Step 3: Cross multiply
    19,980.45x = 29,970.68 × 5,188.13
  4. Step 4: Simplify right side
    19,980.45x = 155,491,608.23
  5. Step 5: Solve for x
    x = 155,491,608.23/19,980.45
  6. Step 6: Final answer
    x = 7,782.19

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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.