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Finding the Fourth Proportional to 16,894.16, 23,310 and 9,819.36

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Solution

The fourth proportional to 16,894.16, 23,310 and 9,819.36 is: 13,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.16 : 23,310 = 9,819.36 : x
  2. Step 2: Convert to fraction form
    16,894.16/23,310 = 9,819.36/x
  3. Step 3: Cross multiply
    16,894.16x = 23,310 × 9,819.36
  4. Step 4: Simplify right side
    16,894.16x = 228,889,281.60
  5. Step 5: Solve for x
    x = 228,889,281.60/16,894.16
  6. Step 6: Final answer
    x = 13,548.43

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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.