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Finding the Fourth Proportional to 13,411.49, 18,509.01 and 7,444.31

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Solution

The fourth proportional to 13,411.49, 18,509.01 and 7,444.31 is: 10,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.49 : 18,509.01 = 7,444.31 : x
  2. Step 2: Convert to fraction form
    13,411.49/18,509.01 = 7,444.31/x
  3. Step 3: Cross multiply
    13,411.49x = 18,509.01 × 7,444.31
  4. Step 4: Simplify right side
    13,411.49x = 137,786,808.23
  5. Step 5: Solve for x
    x = 137,786,808.23/13,411.49
  6. Step 6: Final answer
    x = 10,273.79

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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.