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Finding the Fourth Proportional to 19,669.09, 29,492.69 and 6,514.28

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Solution

The fourth proportional to 19,669.09, 29,492.69 and 6,514.28 is: 9,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669.09 : 29,492.69 = 6,514.28 : x
  2. Step 2: Convert to fraction form
    19,669.09/29,492.69 = 6,514.28/x
  3. Step 3: Cross multiply
    19,669.09x = 29,492.69 × 6,514.28
  4. Step 4: Simplify right side
    19,669.09x = 192,123,640.61
  5. Step 5: Solve for x
    x = 192,123,640.61/19,669.09
  6. Step 6: Final answer
    x = 9,767.80

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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.