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Finding the Fourth Proportional to 12,705.86, 17,534.70 and 7,670.00

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Solution

The fourth proportional to 12,705.86, 17,534.70 and 7,670.00 is: 10,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.86 : 17,534.70 = 7,670.00 : x
  2. Step 2: Convert to fraction form
    12,705.86/17,534.70 = 7,670.00/x
  3. Step 3: Cross multiply
    12,705.86x = 17,534.70 × 7,670.00
  4. Step 4: Simplify right side
    12,705.86x = 134,491,061.33
  5. Step 5: Solve for x
    x = 134,491,061.33/12,705.86
  6. Step 6: Final answer
    x = 10,584.97

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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.