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Finding the Fourth Proportional to 14,597.83, 20,141.29 and 8,930.51

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Solution

The fourth proportional to 14,597.83, 20,141.29 and 8,930.51 is: 12,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.83 : 20,141.29 = 8,930.51 : x
  2. Step 2: Convert to fraction form
    14,597.83/20,141.29 = 8,930.51/x
  3. Step 3: Cross multiply
    14,597.83x = 20,141.29 × 8,930.51
  4. Step 4: Simplify right side
    14,597.83x = 179,871,991.76
  5. Step 5: Solve for x
    x = 179,871,991.76/14,597.83
  6. Step 6: Final answer
    x = 12,321.83

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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.