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Finding the Fourth Proportional to 21,845.34, 32,769.72 and 7,808.40

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Solution

The fourth proportional to 21,845.34, 32,769.72 and 7,808.40 is: 11,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845.34 : 32,769.72 = 7,808.40 : x
  2. Step 2: Convert to fraction form
    21,845.34/32,769.72 = 7,808.40/x
  3. Step 3: Cross multiply
    21,845.34x = 32,769.72 × 7,808.40
  4. Step 4: Simplify right side
    21,845.34x = 255,879,081.65
  5. Step 5: Solve for x
    x = 255,879,081.65/21,845.34
  6. Step 6: Final answer
    x = 11,713.21

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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.