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Finding the Fourth Proportional to 19,769.84, 29,655.22 and 8,674.32

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Solution

The fourth proportional to 19,769.84, 29,655.22 and 8,674.32 is: 13,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.84 : 29,655.22 = 8,674.32 : x
  2. Step 2: Convert to fraction form
    19,769.84/29,655.22 = 8,674.32/x
  3. Step 3: Cross multiply
    19,769.84x = 29,655.22 × 8,674.32
  4. Step 4: Simplify right side
    19,769.84x = 257,238,867.95
  5. Step 5: Solve for x
    x = 257,238,867.95/19,769.84
  6. Step 6: Final answer
    x = 13,011.68

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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.