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Finding the Fourth Proportional to 17,576.76, 26,368.78 and 7,188.50

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Solution

The fourth proportional to 17,576.76, 26,368.78 and 7,188.50 is: 10,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.76 : 26,368.78 = 7,188.50 : x
  2. Step 2: Convert to fraction form
    17,576.76/26,368.78 = 7,188.50/x
  3. Step 3: Cross multiply
    17,576.76x = 26,368.78 × 7,188.50
  4. Step 4: Simplify right side
    17,576.76x = 189,551,975.03
  5. Step 5: Solve for x
    x = 189,551,975.03/17,576.76
  6. Step 6: Final answer
    x = 10,784.24

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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.