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Finding the Fourth Proportional to 14,854.35, 20,497.06 and 8,883.84

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Solution

The fourth proportional to 14,854.35, 20,497.06 and 8,883.84 is: 12,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.35 : 20,497.06 = 8,883.84 : x
  2. Step 2: Convert to fraction form
    14,854.35/20,497.06 = 8,883.84/x
  3. Step 3: Cross multiply
    14,854.35x = 20,497.06 × 8,883.84
  4. Step 4: Simplify right side
    14,854.35x = 182,092,601.51
  5. Step 5: Solve for x
    x = 182,092,601.51/14,854.35
  6. Step 6: Final answer
    x = 12,258.54

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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.