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Finding the Fourth Proportional to 13,411.98, 18,509.70 and 7,444.80

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Solution

The fourth proportional to 13,411.98, 18,509.70 and 7,444.80 is: 10,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.98 : 18,509.70 = 7,444.80 : x
  2. Step 2: Convert to fraction form
    13,411.98/18,509.70 = 7,444.80/x
  3. Step 3: Cross multiply
    13,411.98x = 18,509.70 × 7,444.80
  4. Step 4: Simplify right side
    13,411.98x = 137,801,014.56
  5. Step 5: Solve for x
    x = 137,801,014.56/13,411.98
  6. Step 6: Final answer
    x = 10,274.47

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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.