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Finding the Fourth Proportional to 12,894.68, 19,342.92 and 4,130.30

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Solution

The fourth proportional to 12,894.68, 19,342.92 and 4,130.30 is: 6,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.68 : 19,342.92 = 4,130.30 : x
  2. Step 2: Convert to fraction form
    12,894.68/19,342.92 = 4,130.30/x
  3. Step 3: Cross multiply
    12,894.68x = 19,342.92 × 4,130.30
  4. Step 4: Simplify right side
    12,894.68x = 79,892,062.48
  5. Step 5: Solve for x
    x = 79,892,062.48/12,894.68
  6. Step 6: Final answer
    x = 6,195.74

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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.