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Finding the Fourth Proportional to 15,384.42, 21,230.52 and 8,310.84

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Solution

The fourth proportional to 15,384.42, 21,230.52 and 8,310.84 is: 11,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.42 : 21,230.52 = 8,310.84 : x
  2. Step 2: Convert to fraction form
    15,384.42/21,230.52 = 8,310.84/x
  3. Step 3: Cross multiply
    15,384.42x = 21,230.52 × 8,310.84
  4. Step 4: Simplify right side
    15,384.42x = 176,443,454.84
  5. Step 5: Solve for x
    x = 176,443,454.84/15,384.42
  6. Step 6: Final answer
    x = 11,468.97

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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.