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Finding the Fourth Proportional to 15,495.68, 21,382.44 and 9,206.84

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Solution

The fourth proportional to 15,495.68, 21,382.44 and 9,206.84 is: 12,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,495.68 : 21,382.44 = 9,206.84 : x
  2. Step 2: Convert to fraction form
    15,495.68/21,382.44 = 9,206.84/x
  3. Step 3: Cross multiply
    15,495.68x = 21,382.44 × 9,206.84
  4. Step 4: Simplify right side
    15,495.68x = 196,864,703.89
  5. Step 5: Solve for x
    x = 196,864,703.89/15,495.68
  6. Step 6: Final answer
    x = 12,704.49

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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.