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Finding the Fourth Proportional to 21,888.84, 32,827.29 and 7,846.26

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Solution

The fourth proportional to 21,888.84, 32,827.29 and 7,846.26 is: 11,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888.84 : 32,827.29 = 7,846.26 : x
  2. Step 2: Convert to fraction form
    21,888.84/32,827.29 = 7,846.26/x
  3. Step 3: Cross multiply
    21,888.84x = 32,827.29 × 7,846.26
  4. Step 4: Simplify right side
    21,888.84x = 257,571,299.91
  5. Step 5: Solve for x
    x = 257,571,299.91/21,888.84
  6. Step 6: Final answer
    x = 11,767.24

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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.