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Finding the Fourth Proportional to 14,357.32, 21,535.98 and 7,825.02

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Solution

The fourth proportional to 14,357.32, 21,535.98 and 7,825.02 is: 11,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.32 : 21,535.98 = 7,825.02 : x
  2. Step 2: Convert to fraction form
    14,357.32/21,535.98 = 7,825.02/x
  3. Step 3: Cross multiply
    14,357.32x = 21,535.98 × 7,825.02
  4. Step 4: Simplify right side
    14,357.32x = 168,519,474.22
  5. Step 5: Solve for x
    x = 168,519,474.22/14,357.32
  6. Step 6: Final answer
    x = 11,737.53

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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.