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Finding the Fourth Proportional to 15,378.86, 21,222.83 and 8,305.28

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Solution

The fourth proportional to 15,378.86, 21,222.83 and 8,305.28 is: 11,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378.86 : 21,222.83 = 8,305.28 : x
  2. Step 2: Convert to fraction form
    15,378.86/21,222.83 = 8,305.28/x
  3. Step 3: Cross multiply
    15,378.86x = 21,222.83 × 8,305.28
  4. Step 4: Simplify right side
    15,378.86x = 176,261,557.07
  5. Step 5: Solve for x
    x = 176,261,557.07/15,378.86
  6. Step 6: Final answer
    x = 11,461.29

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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.