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Finding the Fourth Proportional to 13,477.18, 20,218.57 and 5,686.06

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Solution

The fourth proportional to 13,477.18, 20,218.57 and 5,686.06 is: 8,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.18 : 20,218.57 = 5,686.06 : x
  2. Step 2: Convert to fraction form
    13,477.18/20,218.57 = 5,686.06/x
  3. Step 3: Cross multiply
    13,477.18x = 20,218.57 × 5,686.06
  4. Step 4: Simplify right side
    13,477.18x = 114,964,002.13
  5. Step 5: Solve for x
    x = 114,964,002.13/13,477.18
  6. Step 6: Final answer
    x = 8,530.27

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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.