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Finding the Fourth Proportional to 14,983.62, 20,677.16 and 8,177.58

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Solution

The fourth proportional to 14,983.62, 20,677.16 and 8,177.58 is: 11,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.62 : 20,677.16 = 8,177.58 : x
  2. Step 2: Convert to fraction form
    14,983.62/20,677.16 = 8,177.58/x
  3. Step 3: Cross multiply
    14,983.62x = 20,677.16 × 8,177.58
  4. Step 4: Simplify right side
    14,983.62x = 169,089,130.07
  5. Step 5: Solve for x
    x = 169,089,130.07/14,983.62
  6. Step 6: Final answer
    x = 11,284.93

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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.