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Finding the Fourth Proportional to 13,009.60, 19,514.40 and 12,815.20

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Solution

The fourth proportional to 13,009.60, 19,514.40 and 12,815.20 is: 19,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.60 : 19,514.40 = 12,815.20 : x
  2. Step 2: Convert to fraction form
    13,009.60/19,514.40 = 12,815.20/x
  3. Step 3: Cross multiply
    13,009.60x = 19,514.40 × 12,815.20
  4. Step 4: Simplify right side
    13,009.60x = 250,080,938.88
  5. Step 5: Solve for x
    x = 250,080,938.88/13,009.60
  6. Step 6: Final answer
    x = 19,222.80

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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.