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Finding the Fourth Proportional to 15,763.44, 23,648.62 and 4,671

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Solution

The fourth proportional to 15,763.44, 23,648.62 and 4,671 is: 7,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.44 : 23,648.62 = 4,671 : x
  2. Step 2: Convert to fraction form
    15,763.44/23,648.62 = 4,671/x
  3. Step 3: Cross multiply
    15,763.44x = 23,648.62 × 4,671
  4. Step 4: Simplify right side
    15,763.44x = 110,462,704.02
  5. Step 5: Solve for x
    x = 110,462,704.02/15,763.44
  6. Step 6: Final answer
    x = 7,007.53

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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.