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Finding the Fourth Proportional to 13,009.60, 19,517.10 and 7,458.40

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Solution

The fourth proportional to 13,009.60, 19,517.10 and 7,458.40 is: 11,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.60 : 19,517.10 = 7,458.40 : x
  2. Step 2: Convert to fraction form
    13,009.60/19,517.10 = 7,458.40/x
  3. Step 3: Cross multiply
    13,009.60x = 19,517.10 × 7,458.40
  4. Step 4: Simplify right side
    13,009.60x = 145,566,338.64
  5. Step 5: Solve for x
    x = 145,566,338.64/13,009.60
  6. Step 6: Final answer
    x = 11,189.15

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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.