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Finding the Fourth Proportional to 14,617.74, 20,167.69 and 8,946.58

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Solution

The fourth proportional to 14,617.74, 20,167.69 and 8,946.58 is: 12,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.74 : 20,167.69 = 8,946.58 : x
  2. Step 2: Convert to fraction form
    14,617.74/20,167.69 = 8,946.58/x
  3. Step 3: Cross multiply
    14,617.74x = 20,167.69 × 8,946.58
  4. Step 4: Simplify right side
    14,617.74x = 180,431,852.00
  5. Step 5: Solve for x
    x = 180,431,852.00/14,617.74
  6. Step 6: Final answer
    x = 12,343.35

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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.