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Finding the Fourth Proportional to 22,858.94, 31,541.37 and 13,429.46

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Solution

The fourth proportional to 22,858.94, 31,541.37 and 13,429.46 is: 18,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.94 : 31,541.37 = 13,429.46 : x
  2. Step 2: Convert to fraction form
    22,858.94/31,541.37 = 13,429.46/x
  3. Step 3: Cross multiply
    22,858.94x = 31,541.37 × 13,429.46
  4. Step 4: Simplify right side
    22,858.94x = 423,583,566.76
  5. Step 5: Solve for x
    x = 423,583,566.76/22,858.94
  6. Step 6: Final answer
    x = 18,530.32

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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.