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Finding the Fourth Proportional to 13,710.48, 18,920.51 and 7,422.84

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Solution

The fourth proportional to 13,710.48, 18,920.51 and 7,422.84 is: 10,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.48 : 18,920.51 = 7,422.84 : x
  2. Step 2: Convert to fraction form
    13,710.48/18,920.51 = 7,422.84/x
  3. Step 3: Cross multiply
    13,710.48x = 18,920.51 × 7,422.84
  4. Step 4: Simplify right side
    13,710.48x = 140,443,881.33
  5. Step 5: Solve for x
    x = 140,443,881.33/13,710.48
  6. Step 6: Final answer
    x = 10,243.54

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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.