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Finding the Fourth Proportional to 14,771.48, 20,384.16 and 8,397.68

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Solution

The fourth proportional to 14,771.48, 20,384.16 and 8,397.68 is: 11,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.48 : 20,384.16 = 8,397.68 : x
  2. Step 2: Convert to fraction form
    14,771.48/20,384.16 = 8,397.68/x
  3. Step 3: Cross multiply
    14,771.48x = 20,384.16 × 8,397.68
  4. Step 4: Simplify right side
    14,771.48x = 171,179,652.75
  5. Step 5: Solve for x
    x = 171,179,652.75/14,771.48
  6. Step 6: Final answer
    x = 11,588.52

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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.