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Finding the Fourth Proportional to 21,534.84, 32,302.26 and 5,952.06

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Solution

The fourth proportional to 21,534.84, 32,302.26 and 5,952.06 is: 8,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.84 : 32,302.26 = 5,952.06 : x
  2. Step 2: Convert to fraction form
    21,534.84/32,302.26 = 5,952.06/x
  3. Step 3: Cross multiply
    21,534.84x = 32,302.26 × 5,952.06
  4. Step 4: Simplify right side
    21,534.84x = 192,264,989.66
  5. Step 5: Solve for x
    x = 192,264,989.66/21,534.84
  6. Step 6: Final answer
    x = 8,928.09

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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.