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Finding the Fourth Proportional to 14,357.38, 21,534.35 and 3,828.19

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Solution

The fourth proportional to 14,357.38, 21,534.35 and 3,828.19 is: 5,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.38 : 21,534.35 = 3,828.19 : x
  2. Step 2: Convert to fraction form
    14,357.38/21,534.35 = 3,828.19/x
  3. Step 3: Cross multiply
    14,357.38x = 21,534.35 × 3,828.19
  4. Step 4: Simplify right side
    14,357.38x = 82,437,456.51
  5. Step 5: Solve for x
    x = 82,437,456.51/14,357.38
  6. Step 6: Final answer
    x = 5,741.82

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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.