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Finding the Fourth Proportional to 12,596.11, 18,852.99 and 9,263.46

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Solution

The fourth proportional to 12,596.11, 18,852.99 and 9,263.46 is: 13,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.11 : 18,852.99 = 9,263.46 : x
  2. Step 2: Convert to fraction form
    12,596.11/18,852.99 = 9,263.46/x
  3. Step 3: Cross multiply
    12,596.11x = 18,852.99 × 9,263.46
  4. Step 4: Simplify right side
    12,596.11x = 174,643,954.71
  5. Step 5: Solve for x
    x = 174,643,954.71/12,596.11
  6. Step 6: Final answer
    x = 13,864.91

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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.