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Finding the Fourth Proportional to 14,840.32, 20,480 and 8,216.32

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Solution

The fourth proportional to 14,840.32, 20,480 and 8,216.32 is: 11,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840.32 : 20,480 = 8,216.32 : x
  2. Step 2: Convert to fraction form
    14,840.32/20,480 = 8,216.32/x
  3. Step 3: Cross multiply
    14,840.32x = 20,480 × 8,216.32
  4. Step 4: Simplify right side
    14,840.32x = 168,270,233.60
  5. Step 5: Solve for x
    x = 168,270,233.60/14,840.32
  6. Step 6: Final answer
    x = 11,338.72

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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.