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Finding the Fourth Proportional to 23,548, 35,338.20 and 9,697

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Solution

The fourth proportional to 23,548, 35,338.20 and 9,697 is: 14,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548 : 35,338.20 = 9,697 : x
  2. Step 2: Convert to fraction form
    23,548/35,338.20 = 9,697/x
  3. Step 3: Cross multiply
    23,548x = 35,338.20 × 9,697
  4. Step 4: Simplify right side
    23,548x = 342,674,525.40
  5. Step 5: Solve for x
    x = 342,674,525.40/23,548
  6. Step 6: Final answer
    x = 14,552.17

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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.