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Finding the Fourth Proportional to 13,029.60, 19,544.40 and 12,460.80

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Solution

The fourth proportional to 13,029.60, 19,544.40 and 12,460.80 is: 18,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.60 : 19,544.40 = 12,460.80 : x
  2. Step 2: Convert to fraction form
    13,029.60/19,544.40 = 12,460.80/x
  3. Step 3: Cross multiply
    13,029.60x = 19,544.40 × 12,460.80
  4. Step 4: Simplify right side
    13,029.60x = 243,538,859.52
  5. Step 5: Solve for x
    x = 243,538,859.52/13,029.60
  6. Step 6: Final answer
    x = 18,691.20

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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.