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Finding the Fourth Proportional to 16,852.31, 23,254.31 and 9,777.36

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Solution

The fourth proportional to 16,852.31, 23,254.31 and 9,777.36 is: 13,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.31 : 23,254.31 = 9,777.36 : x
  2. Step 2: Convert to fraction form
    16,852.31/23,254.31 = 9,777.36/x
  3. Step 3: Cross multiply
    16,852.31x = 23,254.31 × 9,777.36
  4. Step 4: Simplify right side
    16,852.31x = 227,365,711.53
  5. Step 5: Solve for x
    x = 227,365,711.53/16,852.31
  6. Step 6: Final answer
    x = 13,491.67

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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.