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Finding the Fourth Proportional to 23,362, 35,041.72 and 9,522.64

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Solution

The fourth proportional to 23,362, 35,041.72 and 9,522.64 is: 14,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,362 : 35,041.72 = 9,522.64 : x
  2. Step 2: Convert to fraction form
    23,362/35,041.72 = 9,522.64/x
  3. Step 3: Cross multiply
    23,362x = 35,041.72 × 9,522.64
  4. Step 4: Simplify right side
    23,362x = 333,689,684.54
  5. Step 5: Solve for x
    x = 333,689,684.54/23,362
  6. Step 6: Final answer
    x = 14,283.44

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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.