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Finding the Fourth Proportional to 19,703, 29,563.14 and 11,495

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Solution

The fourth proportional to 19,703, 29,563.14 and 11,495 is: 17,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703 : 29,563.14 = 11,495 : x
  2. Step 2: Convert to fraction form
    19,703/29,563.14 = 11,495/x
  3. Step 3: Cross multiply
    19,703x = 29,563.14 × 11,495
  4. Step 4: Simplify right side
    19,703x = 339,828,294.30
  5. Step 5: Solve for x
    x = 339,828,294.30/19,703
  6. Step 6: Final answer
    x = 17,247.54

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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.