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Finding the Fourth Proportional to 22,808.64, 31,474.72 and 12,872

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Solution

The fourth proportional to 22,808.64, 31,474.72 and 12,872 is: 17,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808.64 : 31,474.72 = 12,872 : x
  2. Step 2: Convert to fraction form
    22,808.64/31,474.72 = 12,872/x
  3. Step 3: Cross multiply
    22,808.64x = 31,474.72 × 12,872
  4. Step 4: Simplify right side
    22,808.64x = 405,142,595.84
  5. Step 5: Solve for x
    x = 405,142,595.84/22,808.64
  6. Step 6: Final answer
    x = 17,762.68

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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.