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Finding the Fourth Proportional to 15,458.64, 23,151.90 and 11,288.32

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Solution

The fourth proportional to 15,458.64, 23,151.90 and 11,288.32 is: 16,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,458.64 : 23,151.90 = 11,288.32 : x
  2. Step 2: Convert to fraction form
    15,458.64/23,151.90 = 11,288.32/x
  3. Step 3: Cross multiply
    15,458.64x = 23,151.90 × 11,288.32
  4. Step 4: Simplify right side
    15,458.64x = 261,346,055.81
  5. Step 5: Solve for x
    x = 261,346,055.81/15,458.64
  6. Step 6: Final answer
    x = 16,906.15

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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.