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Finding the Fourth Proportional to 14,220.47, 19,625.48 and 7,847.66

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Solution

The fourth proportional to 14,220.47, 19,625.48 and 7,847.66 is: 10,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220.47 : 19,625.48 = 7,847.66 : x
  2. Step 2: Convert to fraction form
    14,220.47/19,625.48 = 7,847.66/x
  3. Step 3: Cross multiply
    14,220.47x = 19,625.48 × 7,847.66
  4. Step 4: Simplify right side
    14,220.47x = 154,013,996.25
  5. Step 5: Solve for x
    x = 154,013,996.25/14,220.47
  6. Step 6: Final answer
    x = 10,830.45

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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.