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Finding the Fourth Proportional to 21,525.94, 32,237.88 and 13,711.06

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Solution

The fourth proportional to 21,525.94, 32,237.88 and 13,711.06 is: 20,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.94 : 32,237.88 = 13,711.06 : x
  2. Step 2: Convert to fraction form
    21,525.94/32,237.88 = 13,711.06/x
  3. Step 3: Cross multiply
    21,525.94x = 32,237.88 × 13,711.06
  4. Step 4: Simplify right side
    21,525.94x = 442,015,506.95
  5. Step 5: Solve for x
    x = 442,015,506.95/21,525.94
  6. Step 6: Final answer
    x = 20,534.09

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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.