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Finding the Fourth Proportional to 23,533, 35,302.44 and 7,117

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Solution

The fourth proportional to 23,533, 35,302.44 and 7,117 is: 10,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533 : 35,302.44 = 7,117 : x
  2. Step 2: Convert to fraction form
    23,533/35,302.44 = 7,117/x
  3. Step 3: Cross multiply
    23,533x = 35,302.44 × 7,117
  4. Step 4: Simplify right side
    23,533x = 251,247,465.48
  5. Step 5: Solve for x
    x = 251,247,465.48/23,533
  6. Step 6: Final answer
    x = 10,676.39

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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.