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Finding the Fourth Proportional to 15,573.50, 23,370.78 and 6,803.36

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Solution

The fourth proportional to 15,573.50, 23,370.78 and 6,803.36 is: 10,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,573.50 : 23,370.78 = 6,803.36 : x
  2. Step 2: Convert to fraction form
    15,573.50/23,370.78 = 6,803.36/x
  3. Step 3: Cross multiply
    15,573.50x = 23,370.78 × 6,803.36
  4. Step 4: Simplify right side
    15,573.50x = 158,999,829.82
  5. Step 5: Solve for x
    x = 158,999,829.82/15,573.50
  6. Step 6: Final answer
    x = 10,209.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.