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Finding the Fourth Proportional to 15,278.82, 21,084.74 and 9,310.50

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Solution

The fourth proportional to 15,278.82, 21,084.74 and 9,310.50 is: 12,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278.82 : 21,084.74 = 9,310.50 : x
  2. Step 2: Convert to fraction form
    15,278.82/21,084.74 = 9,310.50/x
  3. Step 3: Cross multiply
    15,278.82x = 21,084.74 × 9,310.50
  4. Step 4: Simplify right side
    15,278.82x = 196,309,495.05
  5. Step 5: Solve for x
    x = 196,309,495.05/15,278.82
  6. Step 6: Final answer
    x = 12,848.47

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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.