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Finding the Fourth Proportional to 15,380.28, 21,220.86 and 9,409.77

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Solution

The fourth proportional to 15,380.28, 21,220.86 and 9,409.77 is: 12,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.28 : 21,220.86 = 9,409.77 : x
  2. Step 2: Convert to fraction form
    15,380.28/21,220.86 = 9,409.77/x
  3. Step 3: Cross multiply
    15,380.28x = 21,220.86 × 9,409.77
  4. Step 4: Simplify right side
    15,380.28x = 199,683,411.80
  5. Step 5: Solve for x
    x = 199,683,411.80/15,380.28
  6. Step 6: Final answer
    x = 12,983.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.