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Finding the Fourth Proportional to 22,784.90, 34,188.24 and 12,396.64

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Solution

The fourth proportional to 22,784.90, 34,188.24 and 12,396.64 is: 18,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.90 : 34,188.24 = 12,396.64 : x
  2. Step 2: Convert to fraction form
    22,784.90/34,188.24 = 12,396.64/x
  3. Step 3: Cross multiply
    22,784.90x = 34,188.24 × 12,396.64
  4. Step 4: Simplify right side
    22,784.90x = 423,819,303.51
  5. Step 5: Solve for x
    x = 423,819,303.51/22,784.90
  6. Step 6: Final answer
    x = 18,600.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.