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Finding the Fourth Proportional to 14,357.00, 21,535.23 and 7,824.76

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Solution

The fourth proportional to 14,357.00, 21,535.23 and 7,824.76 is: 11,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.00 : 21,535.23 = 7,824.76 : x
  2. Step 2: Convert to fraction form
    14,357.00/21,535.23 = 7,824.76/x
  3. Step 3: Cross multiply
    14,357.00x = 21,535.23 × 7,824.76
  4. Step 4: Simplify right side
    14,357.00x = 168,507,981.80
  5. Step 5: Solve for x
    x = 168,507,981.80/14,357.00
  6. Step 6: Final answer
    x = 11,736.99

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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.