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Finding the Fourth Proportional to 15,494.22, 21,382.14 and 8,420.64

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Solution

The fourth proportional to 15,494.22, 21,382.14 and 8,420.64 is: 11,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.22 : 21,382.14 = 8,420.64 : x
  2. Step 2: Convert to fraction form
    15,494.22/21,382.14 = 8,420.64/x
  3. Step 3: Cross multiply
    15,494.22x = 21,382.14 × 8,420.64
  4. Step 4: Simplify right side
    15,494.22x = 180,051,303.37
  5. Step 5: Solve for x
    x = 180,051,303.37/15,494.22
  6. Step 6: Final answer
    x = 11,620.55

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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.