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Finding the Fourth Proportional to 19,544, 29,316 and 8,600

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Solution

The fourth proportional to 19,544, 29,316 and 8,600 is: 12,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,544 : 29,316 = 8,600 : x
  2. Step 2: Convert to fraction form
    19,544/29,316 = 8,600/x
  3. Step 3: Cross multiply
    19,544x = 29,316 × 8,600
  4. Step 4: Simplify right side
    19,544x = 252,117,600
  5. Step 5: Solve for x
    x = 252,117,600/19,544
  6. Step 6: Final answer
    x = 12,900

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.