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Finding the Fourth Proportional to 20,657.64, 28,507.60 and 11,226.24

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Solution

The fourth proportional to 20,657.64, 28,507.60 and 11,226.24 is: 15,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.64 : 28,507.60 = 11,226.24 : x
  2. Step 2: Convert to fraction form
    20,657.64/28,507.60 = 11,226.24/x
  3. Step 3: Cross multiply
    20,657.64x = 28,507.60 × 11,226.24
  4. Step 4: Simplify right side
    20,657.64x = 320,033,159.42
  5. Step 5: Solve for x
    x = 320,033,159.42/20,657.64
  6. Step 6: Final answer
    x = 15,492.24

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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.