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Finding the Fourth Proportional to 22,688.64, 31,308.50 and 12,616.30

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Solution

The fourth proportional to 22,688.64, 31,308.50 and 12,616.30 is: 17,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688.64 : 31,308.50 = 12,616.30 : x
  2. Step 2: Convert to fraction form
    22,688.64/31,308.50 = 12,616.30/x
  3. Step 3: Cross multiply
    22,688.64x = 31,308.50 × 12,616.30
  4. Step 4: Simplify right side
    22,688.64x = 394,997,428.55
  5. Step 5: Solve for x
    x = 394,997,428.55/22,688.64
  6. Step 6: Final answer
    x = 17,409.48

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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.