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Finding the Fourth Proportional to 14,762.86, 20,372.51 and 8,048.31

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Solution

The fourth proportional to 14,762.86, 20,372.51 and 8,048.31 is: 11,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.86 : 20,372.51 = 8,048.31 : x
  2. Step 2: Convert to fraction form
    14,762.86/20,372.51 = 8,048.31/x
  3. Step 3: Cross multiply
    14,762.86x = 20,372.51 × 8,048.31
  4. Step 4: Simplify right side
    14,762.86x = 163,964,334.28
  5. Step 5: Solve for x
    x = 163,964,334.28/14,762.86
  6. Step 6: Final answer
    x = 11,106.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.