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Finding the Fourth Proportional to 23,002.86, 31,741.74 and 12,928.98

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Solution

The fourth proportional to 23,002.86, 31,741.74 and 12,928.98 is: 17,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.86 : 31,741.74 = 12,928.98 : x
  2. Step 2: Convert to fraction form
    23,002.86/31,741.74 = 12,928.98/x
  3. Step 3: Cross multiply
    23,002.86x = 31,741.74 × 12,928.98
  4. Step 4: Simplify right side
    23,002.86x = 410,388,321.63
  5. Step 5: Solve for x
    x = 410,388,321.63/23,002.86
  6. Step 6: Final answer
    x = 17,840.75

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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.