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Finding the Fourth Proportional to 13,597.32, 20,401.74 and 7,434.12

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Solution

The fourth proportional to 13,597.32, 20,401.74 and 7,434.12 is: 11,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.32 : 20,401.74 = 7,434.12 : x
  2. Step 2: Convert to fraction form
    13,597.32/20,401.74 = 7,434.12/x
  3. Step 3: Cross multiply
    13,597.32x = 20,401.74 × 7,434.12
  4. Step 4: Simplify right side
    13,597.32x = 151,668,983.37
  5. Step 5: Solve for x
    x = 151,668,983.37/13,597.32
  6. Step 6: Final answer
    x = 11,154.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.