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Finding the Fourth Proportional to 12,776.90, 17,631.81 and 7,111.67

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Solution

The fourth proportional to 12,776.90, 17,631.81 and 7,111.67 is: 9,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.90 : 17,631.81 = 7,111.67 : x
  2. Step 2: Convert to fraction form
    12,776.90/17,631.81 = 7,111.67/x
  3. Step 3: Cross multiply
    12,776.90x = 17,631.81 × 7,111.67
  4. Step 4: Simplify right side
    12,776.90x = 125,391,526.06
  5. Step 5: Solve for x
    x = 125,391,526.06/12,776.90
  6. Step 6: Final answer
    x = 9,813.93

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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.