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Finding the Fourth Proportional to 14,220.35, 19,623.95 and 7,847.00

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Solution

The fourth proportional to 14,220.35, 19,623.95 and 7,847.00 is: 10,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220.35 : 19,623.95 = 7,847.00 : x
  2. Step 2: Convert to fraction form
    14,220.35/19,623.95 = 7,847.00/x
  3. Step 3: Cross multiply
    14,220.35x = 19,623.95 × 7,847.00
  4. Step 4: Simplify right side
    14,220.35x = 153,988,998.30
  5. Step 5: Solve for x
    x = 153,988,998.30/14,220.35
  6. Step 6: Final answer
    x = 10,828.78

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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.