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Finding the Fourth Proportional to 13,897.68, 20,846.58 and 3,509.43

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Solution

The fourth proportional to 13,897.68, 20,846.58 and 3,509.43 is: 5,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.68 : 20,846.58 = 3,509.43 : x
  2. Step 2: Convert to fraction form
    13,897.68/20,846.58 = 3,509.43/x
  3. Step 3: Cross multiply
    13,897.68x = 20,846.58 × 3,509.43
  4. Step 4: Simplify right side
    13,897.68x = 73,159,613.25
  5. Step 5: Solve for x
    x = 73,159,613.25/13,897.68
  6. Step 6: Final answer
    x = 5,264.16

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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.