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Finding the Fourth Proportional to 13,897.42, 20,846.04 and 3,509.18

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Solution

The fourth proportional to 13,897.42, 20,846.04 and 3,509.18 is: 5,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.42 : 20,846.04 = 3,509.18 : x
  2. Step 2: Convert to fraction form
    13,897.42/20,846.04 = 3,509.18/x
  3. Step 3: Cross multiply
    13,897.42x = 20,846.04 × 3,509.18
  4. Step 4: Simplify right side
    13,897.42x = 73,152,506.65
  5. Step 5: Solve for x
    x = 73,152,506.65/13,897.42
  6. Step 6: Final answer
    x = 5,263.75

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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.