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Finding the Fourth Proportional to 13,552.53, 20,323.74 and 4,665.38

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Solution

The fourth proportional to 13,552.53, 20,323.74 and 4,665.38 is: 6,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.53 : 20,323.74 = 4,665.38 : x
  2. Step 2: Convert to fraction form
    13,552.53/20,323.74 = 4,665.38/x
  3. Step 3: Cross multiply
    13,552.53x = 20,323.74 × 4,665.38
  4. Step 4: Simplify right side
    13,552.53x = 94,817,868.50
  5. Step 5: Solve for x
    x = 94,817,868.50/13,552.53
  6. Step 6: Final answer
    x = 6,996.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.