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Finding the Fourth Proportional to 22,497.60, 31,048.56 and 12,426.96

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Solution

The fourth proportional to 22,497.60, 31,048.56 and 12,426.96 is: 17,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.60 : 31,048.56 = 12,426.96 : x
  2. Step 2: Convert to fraction form
    22,497.60/31,048.56 = 12,426.96/x
  3. Step 3: Cross multiply
    22,497.60x = 31,048.56 × 12,426.96
  4. Step 4: Simplify right side
    22,497.60x = 385,839,213.18
  5. Step 5: Solve for x
    x = 385,839,213.18/22,497.60
  6. Step 6: Final answer
    x = 17,150.24

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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.