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Finding the Fourth Proportional to 19,942.60, 27,534.04 and 12,400.20

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Solution

The fourth proportional to 19,942.60, 27,534.04 and 12,400.20 is: 17,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.60 : 27,534.04 = 12,400.20 : x
  2. Step 2: Convert to fraction form
    19,942.60/27,534.04 = 12,400.20/x
  3. Step 3: Cross multiply
    19,942.60x = 27,534.04 × 12,400.20
  4. Step 4: Simplify right side
    19,942.60x = 341,427,602.81
  5. Step 5: Solve for x
    x = 341,427,602.81/19,942.60
  6. Step 6: Final answer
    x = 17,120.52

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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.