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Finding the Fourth Proportional to 12,758.40, 19,137.60 and 9,842.40

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Solution

The fourth proportional to 12,758.40, 19,137.60 and 9,842.40 is: 14,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.40 : 19,137.60 = 9,842.40 : x
  2. Step 2: Convert to fraction form
    12,758.40/19,137.60 = 9,842.40/x
  3. Step 3: Cross multiply
    12,758.40x = 19,137.60 × 9,842.40
  4. Step 4: Simplify right side
    12,758.40x = 188,359,914.24
  5. Step 5: Solve for x
    x = 188,359,914.24/12,758.40
  6. Step 6: Final answer
    x = 14,763.60

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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.