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Finding the Fourth Proportional to 14,918.86, 20,588.16 and 8,204.53

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Solution

The fourth proportional to 14,918.86, 20,588.16 and 8,204.53 is: 11,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.86 : 20,588.16 = 8,204.53 : x
  2. Step 2: Convert to fraction form
    14,918.86/20,588.16 = 8,204.53/x
  3. Step 3: Cross multiply
    14,918.86x = 20,588.16 × 8,204.53
  4. Step 4: Simplify right side
    14,918.86x = 168,916,176.36
  5. Step 5: Solve for x
    x = 168,916,176.36/14,918.86
  6. Step 6: Final answer
    x = 11,322.32

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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.