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Finding the Fourth Proportional to 14,380.56, 21,574.32 and 7,357.68

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Solution

The fourth proportional to 14,380.56, 21,574.32 and 7,357.68 is: 11,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.56 : 21,574.32 = 7,357.68 : x
  2. Step 2: Convert to fraction form
    14,380.56/21,574.32 = 7,357.68/x
  3. Step 3: Cross multiply
    14,380.56x = 21,574.32 × 7,357.68
  4. Step 4: Simplify right side
    14,380.56x = 158,736,942.78
  5. Step 5: Solve for x
    x = 158,736,942.78/14,380.56
  6. Step 6: Final answer
    x = 11,038.30

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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.