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Finding the Fourth Proportional to 21,527.86, 29,709.03 and 12,097.30

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Solution

The fourth proportional to 21,527.86, 29,709.03 and 12,097.30 is: 16,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.86 : 29,709.03 = 12,097.30 : x
  2. Step 2: Convert to fraction form
    21,527.86/29,709.03 = 12,097.30/x
  3. Step 3: Cross multiply
    21,527.86x = 29,709.03 × 12,097.30
  4. Step 4: Simplify right side
    21,527.86x = 359,399,048.62
  5. Step 5: Solve for x
    x = 359,399,048.62/21,527.86
  6. Step 6: Final answer
    x = 16,694.60

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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.