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Finding the Fourth Proportional to 25,669.62, 38,510.10 and 7,900.38

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Solution

The fourth proportional to 25,669.62, 38,510.10 and 7,900.38 is: 11,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669.62 : 38,510.10 = 7,900.38 : x
  2. Step 2: Convert to fraction form
    25,669.62/38,510.10 = 7,900.38/x
  3. Step 3: Cross multiply
    25,669.62x = 38,510.10 × 7,900.38
  4. Step 4: Simplify right side
    25,669.62x = 304,244,423.84
  5. Step 5: Solve for x
    x = 304,244,423.84/25,669.62
  6. Step 6: Final answer
    x = 11,852.32

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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.