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Finding the Fourth Proportional to 21,532.56, 29,713.40 and 12,102.56

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Solution

The fourth proportional to 21,532.56, 29,713.40 and 12,102.56 is: 16,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.56 : 29,713.40 = 12,102.56 : x
  2. Step 2: Convert to fraction form
    21,532.56/29,713.40 = 12,102.56/x
  3. Step 3: Cross multiply
    21,532.56x = 29,713.40 × 12,102.56
  4. Step 4: Simplify right side
    21,532.56x = 359,608,206.30
  5. Step 5: Solve for x
    x = 359,608,206.30/21,532.56
  6. Step 6: Final answer
    x = 16,700.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.