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Finding the Fourth Proportional to 17,648.75, 24,355.28 and 10,196.75

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Solution

The fourth proportional to 17,648.75, 24,355.28 and 10,196.75 is: 14,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.75 : 24,355.28 = 10,196.75 : x
  2. Step 2: Convert to fraction form
    17,648.75/24,355.28 = 10,196.75/x
  3. Step 3: Cross multiply
    17,648.75x = 24,355.28 × 10,196.75
  4. Step 4: Simplify right side
    17,648.75x = 248,344,701.34
  5. Step 5: Solve for x
    x = 248,344,701.34/17,648.75
  6. Step 6: Final answer
    x = 14,071.52

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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.