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Finding the Fourth Proportional to 12,518.68, 17,275.79 and 6,853.46

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Solution

The fourth proportional to 12,518.68, 17,275.79 and 6,853.46 is: 9,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,518.68 : 17,275.79 = 6,853.46 : x
  2. Step 2: Convert to fraction form
    12,518.68/17,275.79 = 6,853.46/x
  3. Step 3: Cross multiply
    12,518.68x = 17,275.79 × 6,853.46
  4. Step 4: Simplify right side
    12,518.68x = 118,398,944.66
  5. Step 5: Solve for x
    x = 118,398,944.66/12,518.68
  6. Step 6: Final answer
    x = 9,457.78

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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.