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Finding the Fourth Proportional to 14,677.84, 20,258.94 and 8,393.86

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Solution

The fourth proportional to 14,677.84, 20,258.94 and 8,393.86 is: 11,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.84 : 20,258.94 = 8,393.86 : x
  2. Step 2: Convert to fraction form
    14,677.84/20,258.94 = 8,393.86/x
  3. Step 3: Cross multiply
    14,677.84x = 20,258.94 × 8,393.86
  4. Step 4: Simplify right side
    14,677.84x = 170,050,706.11
  5. Step 5: Solve for x
    x = 170,050,706.11/14,677.84
  6. Step 6: Final answer
    x = 11,585.54

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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.