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Finding the Fourth Proportional to 13,454.84, 18,568.37 and 7,486.63

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Solution

The fourth proportional to 13,454.84, 18,568.37 and 7,486.63 is: 10,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.84 : 18,568.37 = 7,486.63 : x
  2. Step 2: Convert to fraction form
    13,454.84/18,568.37 = 7,486.63/x
  3. Step 3: Cross multiply
    13,454.84x = 18,568.37 × 7,486.63
  4. Step 4: Simplify right side
    13,454.84x = 139,014,515.89
  5. Step 5: Solve for x
    x = 139,014,515.89/13,454.84
  6. Step 6: Final answer
    x = 10,331.93

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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.