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Finding the Fourth Proportional to 14,221.40, 19,625.74 and 7,847.89

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Solution

The fourth proportional to 14,221.40, 19,625.74 and 7,847.89 is: 10,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.40 : 19,625.74 = 7,847.89 : x
  2. Step 2: Convert to fraction form
    14,221.40/19,625.74 = 7,847.89/x
  3. Step 3: Cross multiply
    14,221.40x = 19,625.74 × 7,847.89
  4. Step 4: Simplify right side
    14,221.40x = 154,020,580.00
  5. Step 5: Solve for x
    x = 154,020,580.00/14,221.40
  6. Step 6: Final answer
    x = 10,830.20

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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.