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Finding the Fourth Proportional to 19,504.05, 29,262.96 and 9,650.13

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Solution

The fourth proportional to 19,504.05, 29,262.96 and 9,650.13 is: 14,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.05 : 29,262.96 = 9,650.13 : x
  2. Step 2: Convert to fraction form
    19,504.05/29,262.96 = 9,650.13/x
  3. Step 3: Cross multiply
    19,504.05x = 29,262.96 × 9,650.13
  4. Step 4: Simplify right side
    19,504.05x = 282,391,368.18
  5. Step 5: Solve for x
    x = 282,391,368.18/19,504.05
  6. Step 6: Final answer
    x = 14,478.60

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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.