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Finding the Fourth Proportional to 13,401.70, 18,497.04 and 7,740.16

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Solution

The fourth proportional to 13,401.70, 18,497.04 and 7,740.16 is: 10,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.70 : 18,497.04 = 7,740.16 : x
  2. Step 2: Convert to fraction form
    13,401.70/18,497.04 = 7,740.16/x
  3. Step 3: Cross multiply
    13,401.70x = 18,497.04 × 7,740.16
  4. Step 4: Simplify right side
    13,401.70x = 143,170,049.13
  5. Step 5: Solve for x
    x = 143,170,049.13/13,401.70
  6. Step 6: Final answer
    x = 10,682.98

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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.