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Finding the Fourth Proportional to 23,190.68, 32,002.89 and 12,580.22

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Solution

The fourth proportional to 23,190.68, 32,002.89 and 12,580.22 is: 17,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190.68 : 32,002.89 = 12,580.22 : x
  2. Step 2: Convert to fraction form
    23,190.68/32,002.89 = 12,580.22/x
  3. Step 3: Cross multiply
    23,190.68x = 32,002.89 × 12,580.22
  4. Step 4: Simplify right side
    23,190.68x = 402,603,396.84
  5. Step 5: Solve for x
    x = 402,603,396.84/23,190.68
  6. Step 6: Final answer
    x = 17,360.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.