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Finding the Fourth Proportional to 30,282.47, 41,789.76 and 16,853.40

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Solution

The fourth proportional to 30,282.47, 41,789.76 and 16,853.40 is: 23,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.47 : 41,789.76 = 16,853.40 : x
  2. Step 2: Convert to fraction form
    30,282.47/41,789.76 = 16,853.40/x
  3. Step 3: Cross multiply
    30,282.47x = 41,789.76 × 16,853.40
  4. Step 4: Simplify right side
    30,282.47x = 704,299,549.08
  5. Step 5: Solve for x
    x = 704,299,549.08/30,282.47
  6. Step 6: Final answer
    x = 23,257.67

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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.