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Finding the Fourth Proportional to 14,219.44, 19,622.96 and 7,846.32

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Solution

The fourth proportional to 14,219.44, 19,622.96 and 7,846.32 is: 10,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.44 : 19,622.96 = 7,846.32 : x
  2. Step 2: Convert to fraction form
    14,219.44/19,622.96 = 7,846.32/x
  3. Step 3: Cross multiply
    14,219.44x = 19,622.96 × 7,846.32
  4. Step 4: Simplify right side
    14,219.44x = 153,967,886.16
  5. Step 5: Solve for x
    x = 153,967,886.16/14,219.44
  6. Step 6: Final answer
    x = 10,827.99

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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.