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Finding the Fourth Proportional to 12,810.98, 17,672.42 and 10,423.61

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Solution

The fourth proportional to 12,810.98, 17,672.42 and 10,423.61 is: 14,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.98 : 17,672.42 = 10,423.61 : x
  2. Step 2: Convert to fraction form
    12,810.98/17,672.42 = 10,423.61/x
  3. Step 3: Cross multiply
    12,810.98x = 17,672.42 × 10,423.61
  4. Step 4: Simplify right side
    12,810.98x = 184,210,517.21
  5. Step 5: Solve for x
    x = 184,210,517.21/12,810.98
  6. Step 6: Final answer
    x = 14,379.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.