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Finding the Fourth Proportional to 24,857.86, 34,303.83 and 13,679.86

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Solution

The fourth proportional to 24,857.86, 34,303.83 and 13,679.86 is: 18,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.86 : 34,303.83 = 13,679.86 : x
  2. Step 2: Convert to fraction form
    24,857.86/34,303.83 = 13,679.86/x
  3. Step 3: Cross multiply
    24,857.86x = 34,303.83 × 13,679.86
  4. Step 4: Simplify right side
    24,857.86x = 469,271,420.34
  5. Step 5: Solve for x
    x = 469,271,420.34/24,857.86
  6. Step 6: Final answer
    x = 18,878.19

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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.