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Finding the Fourth Proportional to 17,687.95, 24,416.67 and 10,613

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Solution

The fourth proportional to 17,687.95, 24,416.67 and 10,613 is: 14,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.95 : 24,416.67 = 10,613 : x
  2. Step 2: Convert to fraction form
    17,687.95/24,416.67 = 10,613/x
  3. Step 3: Cross multiply
    17,687.95x = 24,416.67 × 10,613
  4. Step 4: Simplify right side
    17,687.95x = 259,134,118.71
  5. Step 5: Solve for x
    x = 259,134,118.71/17,687.95
  6. Step 6: Final answer
    x = 14,650.32

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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.