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Finding the Fourth Proportional to 15,492.65, 23,226.04 and 7,178.64

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Solution

The fourth proportional to 15,492.65, 23,226.04 and 7,178.64 is: 10,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492.65 : 23,226.04 = 7,178.64 : x
  2. Step 2: Convert to fraction form
    15,492.65/23,226.04 = 7,178.64/x
  3. Step 3: Cross multiply
    15,492.65x = 23,226.04 × 7,178.64
  4. Step 4: Simplify right side
    15,492.65x = 166,731,361.84
  5. Step 5: Solve for x
    x = 166,731,361.84/15,492.65
  6. Step 6: Final answer
    x = 10,761.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.