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Finding the Fourth Proportional to 14,311.89, 19,729.51 and 10,050.08

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Solution

The fourth proportional to 14,311.89, 19,729.51 and 10,050.08 is: 13,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.89 : 19,729.51 = 10,050.08 : x
  2. Step 2: Convert to fraction form
    14,311.89/19,729.51 = 10,050.08/x
  3. Step 3: Cross multiply
    14,311.89x = 19,729.51 × 10,050.08
  4. Step 4: Simplify right side
    14,311.89x = 198,283,030.09
  5. Step 5: Solve for x
    x = 198,283,030.09/14,311.89
  6. Step 6: Final answer
    x = 13,854.43

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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.