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Finding the Fourth Proportional to 38,285.65, 57,428.54 and 14,912.09

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Solution

The fourth proportional to 38,285.65, 57,428.54 and 14,912.09 is: 22,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,285.65 : 57,428.54 = 14,912.09 : x
  2. Step 2: Convert to fraction form
    38,285.65/57,428.54 = 14,912.09/x
  3. Step 3: Cross multiply
    38,285.65x = 57,428.54 × 14,912.09
  4. Step 4: Simplify right side
    38,285.65x = 856,379,307.19
  5. Step 5: Solve for x
    x = 856,379,307.19/38,285.65
  6. Step 6: Final answer
    x = 22,368.16

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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.