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Finding the Fourth Proportional to 19,617, 29,425.50 and 5,025

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Solution

The fourth proportional to 19,617, 29,425.50 and 5,025 is: 7,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,617 : 29,425.50 = 5,025 : x
  2. Step 2: Convert to fraction form
    19,617/29,425.50 = 5,025/x
  3. Step 3: Cross multiply
    19,617x = 29,425.50 × 5,025
  4. Step 4: Simplify right side
    19,617x = 147,863,137.50
  5. Step 5: Solve for x
    x = 147,863,137.50/19,617
  6. Step 6: Final answer
    x = 7,537.50

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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.