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Finding the Fourth Proportional to 25,477.16, 38,221.34 and 10,678.46

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Solution

The fourth proportional to 25,477.16, 38,221.34 and 10,678.46 is: 16,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.16 : 38,221.34 = 10,678.46 : x
  2. Step 2: Convert to fraction form
    25,477.16/38,221.34 = 10,678.46/x
  3. Step 3: Cross multiply
    25,477.16x = 38,221.34 × 10,678.46
  4. Step 4: Simplify right side
    25,477.16x = 408,144,805.84
  5. Step 5: Solve for x
    x = 408,144,805.84/25,477.16
  6. Step 6: Final answer
    x = 16,020.03

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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.