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Finding the Fourth Proportional to 22,533.96, 31,098.03 and 12,975.30

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Solution

The fourth proportional to 22,533.96, 31,098.03 and 12,975.30 is: 17,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.96 : 31,098.03 = 12,975.30 : x
  2. Step 2: Convert to fraction form
    22,533.96/31,098.03 = 12,975.30/x
  3. Step 3: Cross multiply
    22,533.96x = 31,098.03 × 12,975.30
  4. Step 4: Simplify right side
    22,533.96x = 403,506,268.66
  5. Step 5: Solve for x
    x = 403,506,268.66/22,533.96
  6. Step 6: Final answer
    x = 17,906.58

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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.