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Finding the Fourth Proportional to 15,685.23, 21,643.07 and 8,969.78

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Solution

The fourth proportional to 15,685.23, 21,643.07 and 8,969.78 is: 12,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.23 : 21,643.07 = 8,969.78 : x
  2. Step 2: Convert to fraction form
    15,685.23/21,643.07 = 8,969.78/x
  3. Step 3: Cross multiply
    15,685.23x = 21,643.07 × 8,969.78
  4. Step 4: Simplify right side
    15,685.23x = 194,133,423.36
  5. Step 5: Solve for x
    x = 194,133,423.36/15,685.23
  6. Step 6: Final answer
    x = 12,376.83

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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.