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Finding the Fourth Proportional to 13,199.16, 19,811.70 and 9,920.28

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Solution

The fourth proportional to 13,199.16, 19,811.70 and 9,920.28 is: 14,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.16 : 19,811.70 = 9,920.28 : x
  2. Step 2: Convert to fraction form
    13,199.16/19,811.70 = 9,920.28/x
  3. Step 3: Cross multiply
    13,199.16x = 19,811.70 × 9,920.28
  4. Step 4: Simplify right side
    13,199.16x = 196,537,611.28
  5. Step 5: Solve for x
    x = 196,537,611.28/13,199.16
  6. Step 6: Final answer
    x = 14,890.16

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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.