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Finding the Fourth Proportional to 14,219.16, 19,619.10 and 8,629.08

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Solution

The fourth proportional to 14,219.16, 19,619.10 and 8,629.08 is: 11,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.16 : 19,619.10 = 8,629.08 : x
  2. Step 2: Convert to fraction form
    14,219.16/19,619.10 = 8,629.08/x
  3. Step 3: Cross multiply
    14,219.16x = 19,619.10 × 8,629.08
  4. Step 4: Simplify right side
    14,219.16x = 169,294,783.43
  5. Step 5: Solve for x
    x = 169,294,783.43/14,219.16
  6. Step 6: Final answer
    x = 11,906.10

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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.