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Finding the Fourth Proportional to 22,844.64, 31,522.40 and 12,771.84

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Solution

The fourth proportional to 22,844.64, 31,522.40 and 12,771.84 is: 17,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.64 : 31,522.40 = 12,771.84 : x
  2. Step 2: Convert to fraction form
    22,844.64/31,522.40 = 12,771.84/x
  3. Step 3: Cross multiply
    22,844.64x = 31,522.40 × 12,771.84
  4. Step 4: Simplify right side
    22,844.64x = 402,599,049.22
  5. Step 5: Solve for x
    x = 402,599,049.22/22,844.64
  6. Step 6: Final answer
    x = 17,623.35

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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.