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Finding the Fourth Proportional to 23,132.64, 31,923.11 and 12,522.25

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Solution

The fourth proportional to 23,132.64, 31,923.11 and 12,522.25 is: 17,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.64 : 31,923.11 = 12,522.25 : x
  2. Step 2: Convert to fraction form
    23,132.64/31,923.11 = 12,522.25/x
  3. Step 3: Cross multiply
    23,132.64x = 31,923.11 × 12,522.25
  4. Step 4: Simplify right side
    23,132.64x = 399,749,055.84
  5. Step 5: Solve for x
    x = 399,749,055.84/23,132.64
  6. Step 6: Final answer
    x = 17,280.74

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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.