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Finding the Fourth Proportional to 24,855, 34,300.14 and 13,677.24

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Solution

The fourth proportional to 24,855, 34,300.14 and 13,677.24 is: 18,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855 : 34,300.14 = 13,677.24 : x
  2. Step 2: Convert to fraction form
    24,855/34,300.14 = 13,677.24/x
  3. Step 3: Cross multiply
    24,855x = 34,300.14 × 13,677.24
  4. Step 4: Simplify right side
    24,855x = 469,131,246.81
  5. Step 5: Solve for x
    x = 469,131,246.81/24,855
  6. Step 6: Final answer
    x = 18,874.72

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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.