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Finding the Fourth Proportional to 12,618.32, 17,403.96 and 9,260

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Solution

The fourth proportional to 12,618.32, 17,403.96 and 9,260 is: 12,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.32 : 17,403.96 = 9,260 : x
  2. Step 2: Convert to fraction form
    12,618.32/17,403.96 = 9,260/x
  3. Step 3: Cross multiply
    12,618.32x = 17,403.96 × 9,260
  4. Step 4: Simplify right side
    12,618.32x = 161,160,669.60
  5. Step 5: Solve for x
    x = 161,160,669.60/12,618.32
  6. Step 6: Final answer
    x = 12,771.96

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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.