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Finding the Fourth Proportional to 23,190.76, 32,002.77 and 12,580.17

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Solution

The fourth proportional to 23,190.76, 32,002.77 and 12,580.17 is: 17,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190.76 : 32,002.77 = 12,580.17 : x
  2. Step 2: Convert to fraction form
    23,190.76/32,002.77 = 12,580.17/x
  3. Step 3: Cross multiply
    23,190.76x = 32,002.77 × 12,580.17
  4. Step 4: Simplify right side
    23,190.76x = 402,600,287.07
  5. Step 5: Solve for x
    x = 402,600,287.07/23,190.76
  6. Step 6: Final answer
    x = 17,360.37

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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.