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Finding the Fourth Proportional to 22,679.94, 31,298.32 and 13,248.57

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Solution

The fourth proportional to 22,679.94, 31,298.32 and 13,248.57 is: 18,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,679.94 : 31,298.32 = 13,248.57 : x
  2. Step 2: Convert to fraction form
    22,679.94/31,298.32 = 13,248.57/x
  3. Step 3: Cross multiply
    22,679.94x = 31,298.32 × 13,248.57
  4. Step 4: Simplify right side
    22,679.94x = 414,657,917.16
  5. Step 5: Solve for x
    x = 414,657,917.16/22,679.94
  6. Step 6: Final answer
    x = 18,283.03

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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.