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Finding the Fourth Proportional to 19,518.70, 29,282.10 and 7,832.84

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Solution

The fourth proportional to 19,518.70, 29,282.10 and 7,832.84 is: 11,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,518.70 : 29,282.10 = 7,832.84 : x
  2. Step 2: Convert to fraction form
    19,518.70/29,282.10 = 7,832.84/x
  3. Step 3: Cross multiply
    19,518.70x = 29,282.10 × 7,832.84
  4. Step 4: Simplify right side
    19,518.70x = 229,362,004.16
  5. Step 5: Solve for x
    x = 229,362,004.16/19,518.70
  6. Step 6: Final answer
    x = 11,750.89

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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.