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Finding the Fourth Proportional to 12,154.22, 16,776.99 and 7,120.06

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Solution

The fourth proportional to 12,154.22, 16,776.99 and 7,120.06 is: 9,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.22 : 16,776.99 = 7,120.06 : x
  2. Step 2: Convert to fraction form
    12,154.22/16,776.99 = 7,120.06/x
  3. Step 3: Cross multiply
    12,154.22x = 16,776.99 × 7,120.06
  4. Step 4: Simplify right side
    12,154.22x = 119,453,091.53
  5. Step 5: Solve for x
    x = 119,453,091.53/12,154.22
  6. Step 6: Final answer
    x = 9,828.12

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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.