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Finding the Fourth Proportional to 17,762.85, 24,512.63 and 10,687.77

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Solution

The fourth proportional to 17,762.85, 24,512.63 and 10,687.77 is: 14,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.85 : 24,512.63 = 10,687.77 : x
  2. Step 2: Convert to fraction form
    17,762.85/24,512.63 = 10,687.77/x
  3. Step 3: Cross multiply
    17,762.85x = 24,512.63 × 10,687.77
  4. Step 4: Simplify right side
    17,762.85x = 261,985,298.10
  5. Step 5: Solve for x
    x = 261,985,298.10/17,762.85
  6. Step 6: Final answer
    x = 14,749.06

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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.