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Finding the Fourth Proportional to 15,772.50, 23,659.56 and 6,538.50

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Solution

The fourth proportional to 15,772.50, 23,659.56 and 6,538.50 is: 9,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.50 : 23,659.56 = 6,538.50 : x
  2. Step 2: Convert to fraction form
    15,772.50/23,659.56 = 6,538.50/x
  3. Step 3: Cross multiply
    15,772.50x = 23,659.56 × 6,538.50
  4. Step 4: Simplify right side
    15,772.50x = 154,698,033.06
  5. Step 5: Solve for x
    x = 154,698,033.06/15,772.50
  6. Step 6: Final answer
    x = 9,808.09

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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.