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Finding the Fourth Proportional to 15,096.63, 22,647.80 and 6,776.45

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Solution

The fourth proportional to 15,096.63, 22,647.80 and 6,776.45 is: 10,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.63 : 22,647.80 = 6,776.45 : x
  2. Step 2: Convert to fraction form
    15,096.63/22,647.80 = 6,776.45/x
  3. Step 3: Cross multiply
    15,096.63x = 22,647.80 × 6,776.45
  4. Step 4: Simplify right side
    15,096.63x = 153,471,537.19
  5. Step 5: Solve for x
    x = 153,471,537.19/15,096.63
  6. Step 6: Final answer
    x = 10,165.95

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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.