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Finding the Fourth Proportional to 13,460.16, 20,192.76 and 4,224

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Solution

The fourth proportional to 13,460.16, 20,192.76 and 4,224 is: 6,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.16 : 20,192.76 = 4,224 : x
  2. Step 2: Convert to fraction form
    13,460.16/20,192.76 = 4,224/x
  3. Step 3: Cross multiply
    13,460.16x = 20,192.76 × 4,224
  4. Step 4: Simplify right side
    13,460.16x = 85,294,218.24
  5. Step 5: Solve for x
    x = 85,294,218.24/13,460.16
  6. Step 6: Final answer
    x = 6,336.79

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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.