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Finding the Fourth Proportional to 13,362.41, 18,442.08 and 7,696.05

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Solution

The fourth proportional to 13,362.41, 18,442.08 and 7,696.05 is: 10,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362.41 : 18,442.08 = 7,696.05 : x
  2. Step 2: Convert to fraction form
    13,362.41/18,442.08 = 7,696.05/x
  3. Step 3: Cross multiply
    13,362.41x = 18,442.08 × 7,696.05
  4. Step 4: Simplify right side
    13,362.41x = 141,931,145.96
  5. Step 5: Solve for x
    x = 141,931,145.96/13,362.41
  6. Step 6: Final answer
    x = 10,621.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.