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Finding the Fourth Proportional to 38,693.46, 58,047.48 and 12,396

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Solution

The fourth proportional to 38,693.46, 58,047.48 and 12,396 is: 18,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,693.46 : 58,047.48 = 12,396 : x
  2. Step 2: Convert to fraction form
    38,693.46/58,047.48 = 12,396/x
  3. Step 3: Cross multiply
    38,693.46x = 58,047.48 × 12,396
  4. Step 4: Simplify right side
    38,693.46x = 719,556,562.08
  5. Step 5: Solve for x
    x = 719,556,562.08/38,693.46
  6. Step 6: Final answer
    x = 18,596.34

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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.