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Finding the Fourth Proportional to 14,205.44, 19,603.65 and 7,832.29

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Solution

The fourth proportional to 14,205.44, 19,603.65 and 7,832.29 is: 10,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.44 : 19,603.65 = 7,832.29 : x
  2. Step 2: Convert to fraction form
    14,205.44/19,603.65 = 7,832.29/x
  3. Step 3: Cross multiply
    14,205.44x = 19,603.65 × 7,832.29
  4. Step 4: Simplify right side
    14,205.44x = 153,541,471.86
  5. Step 5: Solve for x
    x = 153,541,471.86/14,205.44
  6. Step 6: Final answer
    x = 10,808.64

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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.