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Finding the Fourth Proportional to 23,384.09, 35,077.91 and 7,801.71

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Solution

The fourth proportional to 23,384.09, 35,077.91 and 7,801.71 is: 11,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.09 : 35,077.91 = 7,801.71 : x
  2. Step 2: Convert to fraction form
    23,384.09/35,077.91 = 7,801.71/x
  3. Step 3: Cross multiply
    23,384.09x = 35,077.91 × 7,801.71
  4. Step 4: Simplify right side
    23,384.09x = 273,667,642.22
  5. Step 5: Solve for x
    x = 273,667,642.22/23,384.09
  6. Step 6: Final answer
    x = 11,703.16

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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.