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Finding the Fourth Proportional to 19,854.24, 29,782.98 and 8,167.56

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Solution

The fourth proportional to 19,854.24, 29,782.98 and 8,167.56 is: 12,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.24 : 29,782.98 = 8,167.56 : x
  2. Step 2: Convert to fraction form
    19,854.24/29,782.98 = 8,167.56/x
  3. Step 3: Cross multiply
    19,854.24x = 29,782.98 × 8,167.56
  4. Step 4: Simplify right side
    19,854.24x = 243,254,276.13
  5. Step 5: Solve for x
    x = 243,254,276.13/19,854.24
  6. Step 6: Final answer
    x = 12,252.01

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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.