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Finding the Fourth Proportional to 13,442.08, 20,133.96 and 6,502

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Solution

The fourth proportional to 13,442.08, 20,133.96 and 6,502 is: 9,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.08 : 20,133.96 = 6,502 : x
  2. Step 2: Convert to fraction form
    13,442.08/20,133.96 = 6,502/x
  3. Step 3: Cross multiply
    13,442.08x = 20,133.96 × 6,502
  4. Step 4: Simplify right side
    13,442.08x = 130,911,007.92
  5. Step 5: Solve for x
    x = 130,911,007.92/13,442.08
  6. Step 6: Final answer
    x = 9,738.90

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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.