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Finding the Fourth Proportional to 16,884.32, 23,295.28 and 9,808.16

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Solution

The fourth proportional to 16,884.32, 23,295.28 and 9,808.16 is: 13,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.32 : 23,295.28 = 9,808.16 : x
  2. Step 2: Convert to fraction form
    16,884.32/23,295.28 = 9,808.16/x
  3. Step 3: Cross multiply
    16,884.32x = 23,295.28 × 9,808.16
  4. Step 4: Simplify right side
    16,884.32x = 228,483,833.48
  5. Step 5: Solve for x
    x = 228,483,833.48/16,884.32
  6. Step 6: Final answer
    x = 13,532.31

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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.