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Finding the Fourth Proportional to 15,865.56, 21,895.38 and 9,578.88

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Solution

The fourth proportional to 15,865.56, 21,895.38 and 9,578.88 is: 13,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.56 : 21,895.38 = 9,578.88 : x
  2. Step 2: Convert to fraction form
    15,865.56/21,895.38 = 9,578.88/x
  3. Step 3: Cross multiply
    15,865.56x = 21,895.38 × 9,578.88
  4. Step 4: Simplify right side
    15,865.56x = 209,733,217.57
  5. Step 5: Solve for x
    x = 209,733,217.57/15,865.56
  6. Step 6: Final answer
    x = 13,219.40

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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.