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Finding the Fourth Proportional to 12,742.84, 19,094.82 and 5,809.24

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Solution

The fourth proportional to 12,742.84, 19,094.82 and 5,809.24 is: 8,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.84 : 19,094.82 = 5,809.24 : x
  2. Step 2: Convert to fraction form
    12,742.84/19,094.82 = 5,809.24/x
  3. Step 3: Cross multiply
    12,742.84x = 19,094.82 × 5,809.24
  4. Step 4: Simplify right side
    12,742.84x = 110,926,392.14
  5. Step 5: Solve for x
    x = 110,926,392.14/12,742.84
  6. Step 6: Final answer
    x = 8,705.00

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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.