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Finding the Fourth Proportional to 15,709.50, 23,564.25 and 4,765.50

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Solution

The fourth proportional to 15,709.50, 23,564.25 and 4,765.50 is: 7,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.50 : 23,564.25 = 4,765.50 : x
  2. Step 2: Convert to fraction form
    15,709.50/23,564.25 = 4,765.50/x
  3. Step 3: Cross multiply
    15,709.50x = 23,564.25 × 4,765.50
  4. Step 4: Simplify right side
    15,709.50x = 112,295,433.38
  5. Step 5: Solve for x
    x = 112,295,433.38/15,709.50
  6. Step 6: Final answer
    x = 7,148.25

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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.