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Finding the Fourth Proportional to 14,330.78, 19,777.68 and 8,362.84

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Solution

The fourth proportional to 14,330.78, 19,777.68 and 8,362.84 is: 11,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,330.78 : 19,777.68 = 8,362.84 : x
  2. Step 2: Convert to fraction form
    14,330.78/19,777.68 = 8,362.84/x
  3. Step 3: Cross multiply
    14,330.78x = 19,777.68 × 8,362.84
  4. Step 4: Simplify right side
    14,330.78x = 165,397,573.41
  5. Step 5: Solve for x
    x = 165,397,573.41/14,330.78
  6. Step 6: Final answer
    x = 11,541.42

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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.