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Finding the Fourth Proportional to 13,706.47, 20,561.85 and 5,809.01

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Solution

The fourth proportional to 13,706.47, 20,561.85 and 5,809.01 is: 8,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.47 : 20,561.85 = 5,809.01 : x
  2. Step 2: Convert to fraction form
    13,706.47/20,561.85 = 5,809.01/x
  3. Step 3: Cross multiply
    13,706.47x = 20,561.85 × 5,809.01
  4. Step 4: Simplify right side
    13,706.47x = 119,443,889.46
  5. Step 5: Solve for x
    x = 119,443,889.46/13,706.47
  6. Step 6: Final answer
    x = 8,714.42

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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.