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Finding the Fourth Proportional to 16,032.36, 24,051.29 and 7,150.84

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Solution

The fourth proportional to 16,032.36, 24,051.29 and 7,150.84 is: 10,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.36 : 24,051.29 = 7,150.84 : x
  2. Step 2: Convert to fraction form
    16,032.36/24,051.29 = 7,150.84/x
  3. Step 3: Cross multiply
    16,032.36x = 24,051.29 × 7,150.84
  4. Step 4: Simplify right side
    16,032.36x = 171,986,926.58
  5. Step 5: Solve for x
    x = 171,986,926.58/16,032.36
  6. Step 6: Final answer
    x = 10,727.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.