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Finding the Fourth Proportional to 13,731.86, 18,950.04 and 7,444.28

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Solution

The fourth proportional to 13,731.86, 18,950.04 and 7,444.28 is: 10,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.86 : 18,950.04 = 7,444.28 : x
  2. Step 2: Convert to fraction form
    13,731.86/18,950.04 = 7,444.28/x
  3. Step 3: Cross multiply
    13,731.86x = 18,950.04 × 7,444.28
  4. Step 4: Simplify right side
    13,731.86x = 141,069,403.77
  5. Step 5: Solve for x
    x = 141,069,403.77/13,731.86
  6. Step 6: Final answer
    x = 10,273.15

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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.