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Finding the Fourth Proportional to 19,576, 29,364 and 5,725

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Solution

The fourth proportional to 19,576, 29,364 and 5,725 is: 8,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576 : 29,364 = 5,725 : x
  2. Step 2: Convert to fraction form
    19,576/29,364 = 5,725/x
  3. Step 3: Cross multiply
    19,576x = 29,364 × 5,725
  4. Step 4: Simplify right side
    19,576x = 168,108,900
  5. Step 5: Solve for x
    x = 168,108,900/19,576
  6. Step 6: Final answer
    x = 8,587.50

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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.