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Finding the Fourth Proportional to 19,665.52, 29,499.90 and 7,977.22

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Solution

The fourth proportional to 19,665.52, 29,499.90 and 7,977.22 is: 11,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.52 : 29,499.90 = 7,977.22 : x
  2. Step 2: Convert to fraction form
    19,665.52/29,499.90 = 7,977.22/x
  3. Step 3: Cross multiply
    19,665.52x = 29,499.90 × 7,977.22
  4. Step 4: Simplify right side
    19,665.52x = 235,327,088.61
  5. Step 5: Solve for x
    x = 235,327,088.61/19,665.52
  6. Step 6: Final answer
    x = 11,966.48

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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.