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Finding the Fourth Proportional to 12,730.60, 19,095.90 and 9,231.40

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Solution

The fourth proportional to 12,730.60, 19,095.90 and 9,231.40 is: 13,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.60 : 19,095.90 = 9,231.40 : x
  2. Step 2: Convert to fraction form
    12,730.60/19,095.90 = 9,231.40/x
  3. Step 3: Cross multiply
    12,730.60x = 19,095.90 × 9,231.40
  4. Step 4: Simplify right side
    12,730.60x = 176,281,891.26
  5. Step 5: Solve for x
    x = 176,281,891.26/12,730.60
  6. Step 6: Final answer
    x = 13,847.10

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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.