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Finding the Fourth Proportional to 23,788.13, 35,682.09 and 7,148.09

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Solution

The fourth proportional to 23,788.13, 35,682.09 and 7,148.09 is: 10,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.13 : 35,682.09 = 7,148.09 : x
  2. Step 2: Convert to fraction form
    23,788.13/35,682.09 = 7,148.09/x
  3. Step 3: Cross multiply
    23,788.13x = 35,682.09 × 7,148.09
  4. Step 4: Simplify right side
    23,788.13x = 255,058,790.71
  5. Step 5: Solve for x
    x = 255,058,790.71/23,788.13
  6. Step 6: Final answer
    x = 10,722.10

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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.