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Finding the Fourth Proportional to 14,707.98, 22,064.40 and 4,847.85

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Solution

The fourth proportional to 14,707.98, 22,064.40 and 4,847.85 is: 7,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.98 : 22,064.40 = 4,847.85 : x
  2. Step 2: Convert to fraction form
    14,707.98/22,064.40 = 4,847.85/x
  3. Step 3: Cross multiply
    14,707.98x = 22,064.40 × 4,847.85
  4. Step 4: Simplify right side
    14,707.98x = 106,964,901.54
  5. Step 5: Solve for x
    x = 106,964,901.54/14,707.98
  6. Step 6: Final answer
    x = 7,272.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.