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Finding the Fourth Proportional to 16,804.29, 23,193.18 and 9,638.45

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Solution

The fourth proportional to 16,804.29, 23,193.18 and 9,638.45 is: 13,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804.29 : 23,193.18 = 9,638.45 : x
  2. Step 2: Convert to fraction form
    16,804.29/23,193.18 = 9,638.45/x
  3. Step 3: Cross multiply
    16,804.29x = 23,193.18 × 9,638.45
  4. Step 4: Simplify right side
    16,804.29x = 223,546,189.81
  5. Step 5: Solve for x
    x = 223,546,189.81/16,804.29
  6. Step 6: Final answer
    x = 13,302.92

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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.