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Finding the Fourth Proportional to 15,476.96, 23,212.35 and 7,576.07

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Solution

The fourth proportional to 15,476.96, 23,212.35 and 7,576.07 is: 11,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476.96 : 23,212.35 = 7,576.07 : x
  2. Step 2: Convert to fraction form
    15,476.96/23,212.35 = 7,576.07/x
  3. Step 3: Cross multiply
    15,476.96x = 23,212.35 × 7,576.07
  4. Step 4: Simplify right side
    15,476.96x = 175,858,446.50
  5. Step 5: Solve for x
    x = 175,858,446.50/15,476.96
  6. Step 6: Final answer
    x = 11,362.60

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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.