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Finding the Fourth Proportional to 17,763.85, 24,514 and 10,688.77

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Solution

The fourth proportional to 17,763.85, 24,514 and 10,688.77 is: 14,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.85 : 24,514 = 10,688.77 : x
  2. Step 2: Convert to fraction form
    17,763.85/24,514 = 10,688.77/x
  3. Step 3: Cross multiply
    17,763.85x = 24,514 × 10,688.77
  4. Step 4: Simplify right side
    17,763.85x = 262,024,507.78
  5. Step 5: Solve for x
    x = 262,024,507.78/17,763.85
  6. Step 6: Final answer
    x = 14,750.43

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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.