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Finding the Fourth Proportional to 15,376.69, 23,065.09 and 4,847.70

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Solution

The fourth proportional to 15,376.69, 23,065.09 and 4,847.70 is: 7,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,376.69 : 23,065.09 = 4,847.70 : x
  2. Step 2: Convert to fraction form
    15,376.69/23,065.09 = 4,847.70/x
  3. Step 3: Cross multiply
    15,376.69x = 23,065.09 × 4,847.70
  4. Step 4: Simplify right side
    15,376.69x = 111,812,711.17
  5. Step 5: Solve for x
    x = 111,812,711.17/15,376.69
  6. Step 6: Final answer
    x = 7,271.57

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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.