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Finding the Fourth Proportional to 12,546.38, 18,830.85 and 6,707.98

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Solution

The fourth proportional to 12,546.38, 18,830.85 and 6,707.98 is: 10,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.38 : 18,830.85 = 6,707.98 : x
  2. Step 2: Convert to fraction form
    12,546.38/18,830.85 = 6,707.98/x
  3. Step 3: Cross multiply
    12,546.38x = 18,830.85 × 6,707.98
  4. Step 4: Simplify right side
    12,546.38x = 126,316,965.18
  5. Step 5: Solve for x
    x = 126,316,965.18/12,546.38
  6. Step 6: Final answer
    x = 10,068.00

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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.