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Finding the Fourth Proportional to 22,242.60, 30,688.47 and 12,809.34

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Solution

The fourth proportional to 22,242.60, 30,688.47 and 12,809.34 is: 17,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242.60 : 30,688.47 = 12,809.34 : x
  2. Step 2: Convert to fraction form
    22,242.60/30,688.47 = 12,809.34/x
  3. Step 3: Cross multiply
    22,242.60x = 30,688.47 × 12,809.34
  4. Step 4: Simplify right side
    22,242.60x = 393,099,046.31
  5. Step 5: Solve for x
    x = 393,099,046.31/22,242.60
  6. Step 6: Final answer
    x = 17,673.25

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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.