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Finding the Fourth Proportional to 16,803.09, 23,188.58 and 9,733.60

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Solution

The fourth proportional to 16,803.09, 23,188.58 and 9,733.60 is: 13,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.09 : 23,188.58 = 9,733.60 : x
  2. Step 2: Convert to fraction form
    16,803.09/23,188.58 = 9,733.60/x
  3. Step 3: Cross multiply
    16,803.09x = 23,188.58 × 9,733.60
  4. Step 4: Simplify right side
    16,803.09x = 225,708,362.29
  5. Step 5: Solve for x
    x = 225,708,362.29/16,803.09
  6. Step 6: Final answer
    x = 13,432.55

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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.