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Finding the Fourth Proportional to 16,893.22, 23,314.08 and 9,819.19

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Solution

The fourth proportional to 16,893.22, 23,314.08 and 9,819.19 is: 13,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893.22 : 23,314.08 = 9,819.19 : x
  2. Step 2: Convert to fraction form
    16,893.22/23,314.08 = 9,819.19/x
  3. Step 3: Cross multiply
    16,893.22x = 23,314.08 × 9,819.19
  4. Step 4: Simplify right side
    16,893.22x = 228,925,381.20
  5. Step 5: Solve for x
    x = 228,925,381.20/16,893.22
  6. Step 6: Final answer
    x = 13,551.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.