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Finding the Fourth Proportional to 14,223.30, 19,628 and 7,849.94

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Solution

The fourth proportional to 14,223.30, 19,628 and 7,849.94 is: 10,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.30 : 19,628 = 7,849.94 : x
  2. Step 2: Convert to fraction form
    14,223.30/19,628 = 7,849.94/x
  3. Step 3: Cross multiply
    14,223.30x = 19,628 × 7,849.94
  4. Step 4: Simplify right side
    14,223.30x = 154,078,622.32
  5. Step 5: Solve for x
    x = 154,078,622.32/14,223.30
  6. Step 6: Final answer
    x = 10,832.83

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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.