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Finding the Fourth Proportional to 13,230.56, 19,826 and 7,670.88

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Solution

The fourth proportional to 13,230.56, 19,826 and 7,670.88 is: 11,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.56 : 19,826 = 7,670.88 : x
  2. Step 2: Convert to fraction form
    13,230.56/19,826 = 7,670.88/x
  3. Step 3: Cross multiply
    13,230.56x = 19,826 × 7,670.88
  4. Step 4: Simplify right side
    13,230.56x = 152,082,866.88
  5. Step 5: Solve for x
    x = 152,082,866.88/13,230.56
  6. Step 6: Final answer
    x = 11,494.82

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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.