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Finding the Fourth Proportional to 14,790.50, 20,410.89 and 10,083.02

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Solution

The fourth proportional to 14,790.50, 20,410.89 and 10,083.02 is: 13,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,790.50 : 20,410.89 = 10,083.02 : x
  2. Step 2: Convert to fraction form
    14,790.50/20,410.89 = 10,083.02/x
  3. Step 3: Cross multiply
    14,790.50x = 20,410.89 × 10,083.02
  4. Step 4: Simplify right side
    14,790.50x = 205,803,412.09
  5. Step 5: Solve for x
    x = 205,803,412.09/14,790.50
  6. Step 6: Final answer
    x = 13,914.57

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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.