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Finding the Fourth Proportional to 12,809.58, 19,226.35 and 7,888.82

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Solution

The fourth proportional to 12,809.58, 19,226.35 and 7,888.82 is: 11,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.58 : 19,226.35 = 7,888.82 : x
  2. Step 2: Convert to fraction form
    12,809.58/19,226.35 = 7,888.82/x
  3. Step 3: Cross multiply
    12,809.58x = 19,226.35 × 7,888.82
  4. Step 4: Simplify right side
    12,809.58x = 151,673,214.41
  5. Step 5: Solve for x
    x = 151,673,214.41/12,809.58
  6. Step 6: Final answer
    x = 11,840.61

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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.