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Finding the Fourth Proportional to 14,635.54, 21,953.84 and 6,842.26

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Solution

The fourth proportional to 14,635.54, 21,953.84 and 6,842.26 is: 10,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.54 : 21,953.84 = 6,842.26 : x
  2. Step 2: Convert to fraction form
    14,635.54/21,953.84 = 6,842.26/x
  3. Step 3: Cross multiply
    14,635.54x = 21,953.84 × 6,842.26
  4. Step 4: Simplify right side
    14,635.54x = 150,213,881.28
  5. Step 5: Solve for x
    x = 150,213,881.28/14,635.54
  6. Step 6: Final answer
    x = 10,263.64

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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.