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Finding the Fourth Proportional to 19,984.90, 29,970.04 and 8,299.02

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Solution

The fourth proportional to 19,984.90, 29,970.04 and 8,299.02 is: 12,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.90 : 29,970.04 = 8,299.02 : x
  2. Step 2: Convert to fraction form
    19,984.90/29,970.04 = 8,299.02/x
  3. Step 3: Cross multiply
    19,984.90x = 29,970.04 × 8,299.02
  4. Step 4: Simplify right side
    19,984.90x = 248,721,961.36
  5. Step 5: Solve for x
    x = 248,721,961.36/19,984.90
  6. Step 6: Final answer
    x = 12,445.49

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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.