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Finding the Fourth Proportional to 13,442.29, 18,548.26 and 7,473.94

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Solution

The fourth proportional to 13,442.29, 18,548.26 and 7,473.94 is: 10,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.29 : 18,548.26 = 7,473.94 : x
  2. Step 2: Convert to fraction form
    13,442.29/18,548.26 = 7,473.94/x
  3. Step 3: Cross multiply
    13,442.29x = 18,548.26 × 7,473.94
  4. Step 4: Simplify right side
    13,442.29x = 138,628,582.34
  5. Step 5: Solve for x
    x = 138,628,582.34/13,442.29
  6. Step 6: Final answer
    x = 10,312.87

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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.