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Finding the Fourth Proportional to 14,437.73, 21,643.70 and 7,777.84

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Solution

The fourth proportional to 14,437.73, 21,643.70 and 7,777.84 is: 11,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.73 : 21,643.70 = 7,777.84 : x
  2. Step 2: Convert to fraction form
    14,437.73/21,643.70 = 7,777.84/x
  3. Step 3: Cross multiply
    14,437.73x = 21,643.70 × 7,777.84
  4. Step 4: Simplify right side
    14,437.73x = 168,341,142.61
  5. Step 5: Solve for x
    x = 168,341,142.61/14,437.73
  6. Step 6: Final answer
    x = 11,659.81

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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.