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Finding the Fourth Proportional to 19,507.24, 29,259.18 and 5,466.16

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Solution

The fourth proportional to 19,507.24, 29,259.18 and 5,466.16 is: 8,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.24 : 29,259.18 = 5,466.16 : x
  2. Step 2: Convert to fraction form
    19,507.24/29,259.18 = 5,466.16/x
  3. Step 3: Cross multiply
    19,507.24x = 29,259.18 × 5,466.16
  4. Step 4: Simplify right side
    19,507.24x = 159,935,359.35
  5. Step 5: Solve for x
    x = 159,935,359.35/19,507.24
  6. Step 6: Final answer
    x = 8,198.77

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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.