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Finding the Fourth Proportional to 19,853.27, 29,778.06 and 6,705.76

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Solution

The fourth proportional to 19,853.27, 29,778.06 and 6,705.76 is: 10,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.27 : 29,778.06 = 6,705.76 : x
  2. Step 2: Convert to fraction form
    19,853.27/29,778.06 = 6,705.76/x
  3. Step 3: Cross multiply
    19,853.27x = 29,778.06 × 6,705.76
  4. Step 4: Simplify right side
    19,853.27x = 199,684,341.21
  5. Step 5: Solve for x
    x = 199,684,341.21/19,853.27
  6. Step 6: Final answer
    x = 10,058.01

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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.