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Finding the Fourth Proportional to 13,686.09, 20,529.09 and 10,570.62

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Solution

The fourth proportional to 13,686.09, 20,529.09 and 10,570.62 is: 15,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.09 : 20,529.09 = 10,570.62 : x
  2. Step 2: Convert to fraction form
    13,686.09/20,529.09 = 10,570.62/x
  3. Step 3: Cross multiply
    13,686.09x = 20,529.09 × 10,570.62
  4. Step 4: Simplify right side
    13,686.09x = 217,005,209.34
  5. Step 5: Solve for x
    x = 217,005,209.34/13,686.09
  6. Step 6: Final answer
    x = 15,855.90

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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.