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Finding the Fourth Proportional to 19,663.27, 29,477.08 and 9,805.57

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Solution

The fourth proportional to 19,663.27, 29,477.08 and 9,805.57 is: 14,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,663.27 : 29,477.08 = 9,805.57 : x
  2. Step 2: Convert to fraction form
    19,663.27/29,477.08 = 9,805.57/x
  3. Step 3: Cross multiply
    19,663.27x = 29,477.08 × 9,805.57
  4. Step 4: Simplify right side
    19,663.27x = 289,039,571.34
  5. Step 5: Solve for x
    x = 289,039,571.34/19,663.27
  6. Step 6: Final answer
    x = 14,699.47

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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.