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Finding the Fourth Proportional to 14,646, 20,211.48 and 8,358.24

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Solution

The fourth proportional to 14,646, 20,211.48 and 8,358.24 is: 11,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646 : 20,211.48 = 8,358.24 : x
  2. Step 2: Convert to fraction form
    14,646/20,211.48 = 8,358.24/x
  3. Step 3: Cross multiply
    14,646x = 20,211.48 × 8,358.24
  4. Step 4: Simplify right side
    14,646x = 168,932,400.60
  5. Step 5: Solve for x
    x = 168,932,400.60/14,646
  6. Step 6: Final answer
    x = 11,534.37

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