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Finding the Fourth Proportional to 19,513.07, 29,244.08 and 7,834.49

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Solution

The fourth proportional to 19,513.07, 29,244.08 and 7,834.49 is: 11,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.07 : 29,244.08 = 7,834.49 : x
  2. Step 2: Convert to fraction form
    19,513.07/29,244.08 = 7,834.49/x
  3. Step 3: Cross multiply
    19,513.07x = 29,244.08 × 7,834.49
  4. Step 4: Simplify right side
    19,513.07x = 229,112,452.32
  5. Step 5: Solve for x
    x = 229,112,452.32/19,513.07
  6. Step 6: Final answer
    x = 11,741.49

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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.