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Finding the Fourth Proportional to 13,693.32, 18,892.35 and 8,382.60

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Solution

The fourth proportional to 13,693.32, 18,892.35 and 8,382.60 is: 11,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.32 : 18,892.35 = 8,382.60 : x
  2. Step 2: Convert to fraction form
    13,693.32/18,892.35 = 8,382.60/x
  3. Step 3: Cross multiply
    13,693.32x = 18,892.35 × 8,382.60
  4. Step 4: Simplify right side
    13,693.32x = 158,367,013.11
  5. Step 5: Solve for x
    x = 158,367,013.11/13,693.32
  6. Step 6: Final answer
    x = 11,565.28

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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.