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Finding the Fourth Proportional to 16,502.56, 22,774.74 and 9,428.83

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Solution

The fourth proportional to 16,502.56, 22,774.74 and 9,428.83 is: 13,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.56 : 22,774.74 = 9,428.83 : x
  2. Step 2: Convert to fraction form
    16,502.56/22,774.74 = 9,428.83/x
  3. Step 3: Cross multiply
    16,502.56x = 22,774.74 × 9,428.83
  4. Step 4: Simplify right side
    16,502.56x = 214,739,059.46
  5. Step 5: Solve for x
    x = 214,739,059.46/16,502.56
  6. Step 6: Final answer
    x = 13,012.47

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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.