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Finding the Fourth Proportional to 21,527.20, 29,706 and 11,966.32

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Solution

The fourth proportional to 21,527.20, 29,706 and 11,966.32 is: 16,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.20 : 29,706 = 11,966.32 : x
  2. Step 2: Convert to fraction form
    21,527.20/29,706 = 11,966.32/x
  3. Step 3: Cross multiply
    21,527.20x = 29,706 × 11,966.32
  4. Step 4: Simplify right side
    21,527.20x = 355,471,501.92
  5. Step 5: Solve for x
    x = 355,471,501.92/21,527.20
  6. Step 6: Final answer
    x = 16,512.67

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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.