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Finding the Fourth Proportional to 21,816.72, 32,730 and 7,965.72

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Solution

The fourth proportional to 21,816.72, 32,730 and 7,965.72 is: 11,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.72 : 32,730 = 7,965.72 : x
  2. Step 2: Convert to fraction form
    21,816.72/32,730 = 7,965.72/x
  3. Step 3: Cross multiply
    21,816.72x = 32,730 × 7,965.72
  4. Step 4: Simplify right side
    21,816.72x = 260,718,015.60
  5. Step 5: Solve for x
    x = 260,718,015.60/21,816.72
  6. Step 6: Final answer
    x = 11,950.38

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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.