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Finding the Fourth Proportional to 20,415.60, 28,171.80 and 11,462.40

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Solution

The fourth proportional to 20,415.60, 28,171.80 and 11,462.40 is: 15,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.60 : 28,171.80 = 11,462.40 : x
  2. Step 2: Convert to fraction form
    20,415.60/28,171.80 = 11,462.40/x
  3. Step 3: Cross multiply
    20,415.60x = 28,171.80 × 11,462.40
  4. Step 4: Simplify right side
    20,415.60x = 322,916,440.32
  5. Step 5: Solve for x
    x = 322,916,440.32/20,415.60
  6. Step 6: Final answer
    x = 15,817.14

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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.