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Finding the Fourth Proportional to 19,641.29, 29,465.60 and 6,502.91

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Solution

The fourth proportional to 19,641.29, 29,465.60 and 6,502.91 is: 9,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.29 : 29,465.60 = 6,502.91 : x
  2. Step 2: Convert to fraction form
    19,641.29/29,465.60 = 6,502.91/x
  3. Step 3: Cross multiply
    19,641.29x = 29,465.60 × 6,502.91
  4. Step 4: Simplify right side
    19,641.29x = 191,611,965.05
  5. Step 5: Solve for x
    x = 191,611,965.05/19,641.29
  6. Step 6: Final answer
    x = 9,755.57

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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.