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Finding the Fourth Proportional to 15,824.61, 21,847.43 and 9,864.35

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Solution

The fourth proportional to 15,824.61, 21,847.43 and 9,864.35 is: 13,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.61 : 21,847.43 = 9,864.35 : x
  2. Step 2: Convert to fraction form
    15,824.61/21,847.43 = 9,864.35/x
  3. Step 3: Cross multiply
    15,824.61x = 21,847.43 × 9,864.35
  4. Step 4: Simplify right side
    15,824.61x = 215,510,696.12
  5. Step 5: Solve for x
    x = 215,510,696.12/15,824.61
  6. Step 6: Final answer
    x = 13,618.71

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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.