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Finding the Fourth Proportional to 13,830.88, 18,933.92 and 13,732.06

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Solution

The fourth proportional to 13,830.88, 18,933.92 and 13,732.06 is: 18,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.88 : 18,933.92 = 13,732.06 : x
  2. Step 2: Convert to fraction form
    13,830.88/18,933.92 = 13,732.06/x
  3. Step 3: Cross multiply
    13,830.88x = 18,933.92 × 13,732.06
  4. Step 4: Simplify right side
    13,830.88x = 260,001,656.81
  5. Step 5: Solve for x
    x = 260,001,656.81/13,830.88
  6. Step 6: Final answer
    x = 18,798.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.