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Finding the Fourth Proportional to 16,858.32, 23,265.90 and 9,784.28

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Solution

The fourth proportional to 16,858.32, 23,265.90 and 9,784.28 is: 13,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.32 : 23,265.90 = 9,784.28 : x
  2. Step 2: Convert to fraction form
    16,858.32/23,265.90 = 9,784.28/x
  3. Step 3: Cross multiply
    16,858.32x = 23,265.90 × 9,784.28
  4. Step 4: Simplify right side
    16,858.32x = 227,640,080.05
  5. Step 5: Solve for x
    x = 227,640,080.05/16,858.32
  6. Step 6: Final answer
    x = 13,503.13

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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.