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Finding the Fourth Proportional to 19,515, 29,272.50 and 7,203

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Solution

The fourth proportional to 19,515, 29,272.50 and 7,203 is: 10,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,515 : 29,272.50 = 7,203 : x
  2. Step 2: Convert to fraction form
    19,515/29,272.50 = 7,203/x
  3. Step 3: Cross multiply
    19,515x = 29,272.50 × 7,203
  4. Step 4: Simplify right side
    19,515x = 210,849,817.50
  5. Step 5: Solve for x
    x = 210,849,817.50/19,515
  6. Step 6: Final answer
    x = 10,804.50

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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.