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Finding the Fourth Proportional to 14,219.93, 19,623.37 and 7,846.58

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Solution

The fourth proportional to 14,219.93, 19,623.37 and 7,846.58 is: 10,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.93 : 19,623.37 = 7,846.58 : x
  2. Step 2: Convert to fraction form
    14,219.93/19,623.37 = 7,846.58/x
  3. Step 3: Cross multiply
    14,219.93x = 19,623.37 × 7,846.58
  4. Step 4: Simplify right side
    14,219.93x = 153,976,217.49
  5. Step 5: Solve for x
    x = 153,976,217.49/14,219.93
  6. Step 6: Final answer
    x = 10,828.20

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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.