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Finding the Fourth Proportional to 12,946.60, 19,410.30 and 5,151.40

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Solution

The fourth proportional to 12,946.60, 19,410.30 and 5,151.40 is: 7,723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.60 : 19,410.30 = 5,151.40 : x
  2. Step 2: Convert to fraction form
    12,946.60/19,410.30 = 5,151.40/x
  3. Step 3: Cross multiply
    12,946.60x = 19,410.30 × 5,151.40
  4. Step 4: Simplify right side
    12,946.60x = 99,990,219.42
  5. Step 5: Solve for x
    x = 99,990,219.42/12,946.60
  6. Step 6: Final answer
    x = 7,723.28

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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.