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Finding the Fourth Proportional to 17,766.09, 24,507.50 and 12,380

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Solution

The fourth proportional to 17,766.09, 24,507.50 and 12,380 is: 17,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.09 : 24,507.50 = 12,380 : x
  2. Step 2: Convert to fraction form
    17,766.09/24,507.50 = 12,380/x
  3. Step 3: Cross multiply
    17,766.09x = 24,507.50 × 12,380
  4. Step 4: Simplify right side
    17,766.09x = 303,402,850
  5. Step 5: Solve for x
    x = 303,402,850/17,766.09
  6. Step 6: Final answer
    x = 17,077.64

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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.