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Finding the Fourth Proportional to 12,902.65, 17,806.67 and 7,238.67

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Solution

The fourth proportional to 12,902.65, 17,806.67 and 7,238.67 is: 9,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.65 : 17,806.67 = 7,238.67 : x
  2. Step 2: Convert to fraction form
    12,902.65/17,806.67 = 7,238.67/x
  3. Step 3: Cross multiply
    12,902.65x = 17,806.67 × 7,238.67
  4. Step 4: Simplify right side
    12,902.65x = 128,896,607.93
  5. Step 5: Solve for x
    x = 128,896,607.93/12,902.65
  6. Step 6: Final answer
    x = 9,989.93

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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.