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Finding the Fourth Proportional to 12,889.32, 19,314.54 and 9,586.92

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Solution

The fourth proportional to 12,889.32, 19,314.54 and 9,586.92 is: 14,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.32 : 19,314.54 = 9,586.92 : x
  2. Step 2: Convert to fraction form
    12,889.32/19,314.54 = 9,586.92/x
  3. Step 3: Cross multiply
    12,889.32x = 19,314.54 × 9,586.92
  4. Step 4: Simplify right side
    12,889.32x = 185,166,949.82
  5. Step 5: Solve for x
    x = 185,166,949.82/12,889.32
  6. Step 6: Final answer
    x = 14,365.92

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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.