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Finding the Fourth Proportional to 15,814.85, 21,823.02 and 8,741.12

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Solution

The fourth proportional to 15,814.85, 21,823.02 and 8,741.12 is: 12,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.85 : 21,823.02 = 8,741.12 : x
  2. Step 2: Convert to fraction form
    15,814.85/21,823.02 = 8,741.12/x
  3. Step 3: Cross multiply
    15,814.85x = 21,823.02 × 8,741.12
  4. Step 4: Simplify right side
    15,814.85x = 190,757,527.47
  5. Step 5: Solve for x
    x = 190,757,527.47/15,814.85
  6. Step 6: Final answer
    x = 12,061.93

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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.