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Finding the Fourth Proportional to 15,653.68, 21,601.32 and 8,578.84

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Solution

The fourth proportional to 15,653.68, 21,601.32 and 8,578.84 is: 11,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653.68 : 21,601.32 = 8,578.84 : x
  2. Step 2: Convert to fraction form
    15,653.68/21,601.32 = 8,578.84/x
  3. Step 3: Cross multiply
    15,653.68x = 21,601.32 × 8,578.84
  4. Step 4: Simplify right side
    15,653.68x = 185,314,268.07
  5. Step 5: Solve for x
    x = 185,314,268.07/15,653.68
  6. Step 6: Final answer
    x = 11,838.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.