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Finding the Fourth Proportional to 20,003.60, 30,005.40 and 13,078.10

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Solution

The fourth proportional to 20,003.60, 30,005.40 and 13,078.10 is: 19,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.60 : 30,005.40 = 13,078.10 : x
  2. Step 2: Convert to fraction form
    20,003.60/30,005.40 = 13,078.10/x
  3. Step 3: Cross multiply
    20,003.60x = 30,005.40 × 13,078.10
  4. Step 4: Simplify right side
    20,003.60x = 392,413,621.74
  5. Step 5: Solve for x
    x = 392,413,621.74/20,003.60
  6. Step 6: Final answer
    x = 19,617.15

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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.