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Finding the Fourth Proportional to 19,773.65, 29,657.11 and 8,677.36

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Solution

The fourth proportional to 19,773.65, 29,657.11 and 8,677.36 is: 13,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.65 : 29,657.11 = 8,677.36 : x
  2. Step 2: Convert to fraction form
    19,773.65/29,657.11 = 8,677.36/x
  3. Step 3: Cross multiply
    19,773.65x = 29,657.11 × 8,677.36
  4. Step 4: Simplify right side
    19,773.65x = 257,345,271.74
  5. Step 5: Solve for x
    x = 257,345,271.74/19,773.65
  6. Step 6: Final answer
    x = 13,014.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.