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Finding the Fourth Proportional to 12,415.62, 17,133.09 and 7,106.67

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Solution

The fourth proportional to 12,415.62, 17,133.09 and 7,106.67 is: 9,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.62 : 17,133.09 = 7,106.67 : x
  2. Step 2: Convert to fraction form
    12,415.62/17,133.09 = 7,106.67/x
  3. Step 3: Cross multiply
    12,415.62x = 17,133.09 × 7,106.67
  4. Step 4: Simplify right side
    12,415.62x = 121,759,216.71
  5. Step 5: Solve for x
    x = 121,759,216.71/12,415.62
  6. Step 6: Final answer
    x = 9,806.94

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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.