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Finding the Fourth Proportional to 19,193.41, 28,765.14 and 9,825.49

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Solution

The fourth proportional to 19,193.41, 28,765.14 and 9,825.49 is: 14,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,193.41 : 28,765.14 = 9,825.49 : x
  2. Step 2: Convert to fraction form
    19,193.41/28,765.14 = 9,825.49/x
  3. Step 3: Cross multiply
    19,193.41x = 28,765.14 × 9,825.49
  4. Step 4: Simplify right side
    19,193.41x = 282,631,595.42
  5. Step 5: Solve for x
    x = 282,631,595.42/19,193.41
  6. Step 6: Final answer
    x = 14,725.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.