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Finding the Fourth Proportional to 24,856.36, 34,300.74 and 13,677.64

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Solution

The fourth proportional to 24,856.36, 34,300.74 and 13,677.64 is: 18,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.36 : 34,300.74 = 13,677.64 : x
  2. Step 2: Convert to fraction form
    24,856.36/34,300.74 = 13,677.64/x
  3. Step 3: Cross multiply
    24,856.36x = 34,300.74 × 13,677.64
  4. Step 4: Simplify right side
    24,856.36x = 469,153,173.45
  5. Step 5: Solve for x
    x = 469,153,173.45/24,856.36
  6. Step 6: Final answer
    x = 18,874.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.