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Finding the Fourth Proportional to 17,765.10, 24,515.44 and 9,698.48

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Solution

The fourth proportional to 17,765.10, 24,515.44 and 9,698.48 is: 13,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.10 : 24,515.44 = 9,698.48 : x
  2. Step 2: Convert to fraction form
    17,765.10/24,515.44 = 9,698.48/x
  3. Step 3: Cross multiply
    17,765.10x = 24,515.44 × 9,698.48
  4. Step 4: Simplify right side
    17,765.10x = 237,762,381.95
  5. Step 5: Solve for x
    x = 237,762,381.95/17,765.10
  6. Step 6: Final answer
    x = 13,383.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.