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Finding the Fourth Proportional to 16,643.56, 22,971.04 and 9,929.60

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Solution

The fourth proportional to 16,643.56, 22,971.04 and 9,929.60 is: 13,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.56 : 22,971.04 = 9,929.60 : x
  2. Step 2: Convert to fraction form
    16,643.56/22,971.04 = 9,929.60/x
  3. Step 3: Cross multiply
    16,643.56x = 22,971.04 × 9,929.60
  4. Step 4: Simplify right side
    16,643.56x = 228,093,238.78
  5. Step 5: Solve for x
    x = 228,093,238.78/16,643.56
  6. Step 6: Final answer
    x = 13,704.59

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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.