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Finding the Fourth Proportional to 15,384.34, 21,219.85 and 9,418.96

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Solution

The fourth proportional to 15,384.34, 21,219.85 and 9,418.96 is: 12,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.34 : 21,219.85 = 9,418.96 : x
  2. Step 2: Convert to fraction form
    15,384.34/21,219.85 = 9,418.96/x
  3. Step 3: Cross multiply
    15,384.34x = 21,219.85 × 9,418.96
  4. Step 4: Simplify right side
    15,384.34x = 199,868,870.48
  5. Step 5: Solve for x
    x = 199,868,870.48/15,384.34
  6. Step 6: Final answer
    x = 12,991.71

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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.