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Finding the Fourth Proportional to 12,894.30, 19,341.72 and 4,129.19

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Solution

The fourth proportional to 12,894.30, 19,341.72 and 4,129.19 is: 6,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.30 : 19,341.72 = 4,129.19 : x
  2. Step 2: Convert to fraction form
    12,894.30/19,341.72 = 4,129.19/x
  3. Step 3: Cross multiply
    12,894.30x = 19,341.72 × 4,129.19
  4. Step 4: Simplify right side
    12,894.30x = 79,865,700.65
  5. Step 5: Solve for x
    x = 79,865,700.65/12,894.30
  6. Step 6: Final answer
    x = 6,193.87

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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.