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Finding the Fourth Proportional to 19,827, 29,740.50 and 7,515

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Solution

The fourth proportional to 19,827, 29,740.50 and 7,515 is: 11,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827 : 29,740.50 = 7,515 : x
  2. Step 2: Convert to fraction form
    19,827/29,740.50 = 7,515/x
  3. Step 3: Cross multiply
    19,827x = 29,740.50 × 7,515
  4. Step 4: Simplify right side
    19,827x = 223,499,857.50
  5. Step 5: Solve for x
    x = 223,499,857.50/19,827
  6. Step 6: Final answer
    x = 11,272.50

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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.