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Finding the Fourth Proportional to 23,415.19, 35,122.82 and 9,564.19

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Solution

The fourth proportional to 23,415.19, 35,122.82 and 9,564.19 is: 14,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.19 : 35,122.82 = 9,564.19 : x
  2. Step 2: Convert to fraction form
    23,415.19/35,122.82 = 9,564.19/x
  3. Step 3: Cross multiply
    23,415.19x = 35,122.82 × 9,564.19
  4. Step 4: Simplify right side
    23,415.19x = 335,921,188.19
  5. Step 5: Solve for x
    x = 335,921,188.19/23,415.19
  6. Step 6: Final answer
    x = 14,346.30

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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.