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Finding the Fourth Proportional to 15,756.24, 23,649 and 7,970.56

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Solution

The fourth proportional to 15,756.24, 23,649 and 7,970.56 is: 11,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.24 : 23,649 = 7,970.56 : x
  2. Step 2: Convert to fraction form
    15,756.24/23,649 = 7,970.56/x
  3. Step 3: Cross multiply
    15,756.24x = 23,649 × 7,970.56
  4. Step 4: Simplify right side
    15,756.24x = 188,495,773.44
  5. Step 5: Solve for x
    x = 188,495,773.44/15,756.24
  6. Step 6: Final answer
    x = 11,963.25

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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.