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Finding the Fourth Proportional to 21,383.14, 32,065.54 and 7,344.58

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Solution

The fourth proportional to 21,383.14, 32,065.54 and 7,344.58 is: 11,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.14 : 32,065.54 = 7,344.58 : x
  2. Step 2: Convert to fraction form
    21,383.14/32,065.54 = 7,344.58/x
  3. Step 3: Cross multiply
    21,383.14x = 32,065.54 × 7,344.58
  4. Step 4: Simplify right side
    21,383.14x = 235,507,923.77
  5. Step 5: Solve for x
    x = 235,507,923.77/21,383.14
  6. Step 6: Final answer
    x = 11,013.72

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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.