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Finding the Fourth Proportional to 20,023.24, 27,643.32 and 13,318

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Solution

The fourth proportional to 20,023.24, 27,643.32 and 13,318 is: 18,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.24 : 27,643.32 = 13,318 : x
  2. Step 2: Convert to fraction form
    20,023.24/27,643.32 = 13,318/x
  3. Step 3: Cross multiply
    20,023.24x = 27,643.32 × 13,318
  4. Step 4: Simplify right side
    20,023.24x = 368,153,735.76
  5. Step 5: Solve for x
    x = 368,153,735.76/20,023.24
  6. Step 6: Final answer
    x = 18,386.32

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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.