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Finding the Fourth Proportional to 13,424.81, 18,524.23 and 7,456.46

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Solution

The fourth proportional to 13,424.81, 18,524.23 and 7,456.46 is: 10,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.81 : 18,524.23 = 7,456.46 : x
  2. Step 2: Convert to fraction form
    13,424.81/18,524.23 = 7,456.46/x
  3. Step 3: Cross multiply
    13,424.81x = 18,524.23 × 7,456.46
  4. Step 4: Simplify right side
    13,424.81x = 138,125,068.76
  5. Step 5: Solve for x
    x = 138,125,068.76/13,424.81
  6. Step 6: Final answer
    x = 10,288.80

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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.