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Finding the Fourth Proportional to 23,716, 35,574 and 7,300

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Solution

The fourth proportional to 23,716, 35,574 and 7,300 is: 10,950

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716 : 35,574 = 7,300 : x
  2. Step 2: Convert to fraction form
    23,716/35,574 = 7,300/x
  3. Step 3: Cross multiply
    23,716x = 35,574 × 7,300
  4. Step 4: Simplify right side
    23,716x = 259,690,200
  5. Step 5: Solve for x
    x = 259,690,200/23,716
  6. Step 6: Final answer
    x = 10,950

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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.