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Finding the Fourth Proportional to 22,533.14, 31,098.60 and 13,099.88

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Solution

The fourth proportional to 22,533.14, 31,098.60 and 13,099.88 is: 18,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.14 : 31,098.60 = 13,099.88 : x
  2. Step 2: Convert to fraction form
    22,533.14/31,098.60 = 13,099.88/x
  3. Step 3: Cross multiply
    22,533.14x = 31,098.60 × 13,099.88
  4. Step 4: Simplify right side
    22,533.14x = 407,387,772.68
  5. Step 5: Solve for x
    x = 407,387,772.68/22,533.14
  6. Step 6: Final answer
    x = 18,079.50

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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.