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Finding the Fourth Proportional to 15,376.62, 23,047 and 7,057.50

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Solution

The fourth proportional to 15,376.62, 23,047 and 7,057.50 is: 10,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,376.62 : 23,047 = 7,057.50 : x
  2. Step 2: Convert to fraction form
    15,376.62/23,047 = 7,057.50/x
  3. Step 3: Cross multiply
    15,376.62x = 23,047 × 7,057.50
  4. Step 4: Simplify right side
    15,376.62x = 162,654,202.50
  5. Step 5: Solve for x
    x = 162,654,202.50/15,376.62
  6. Step 6: Final answer
    x = 10,578.02

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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.