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Finding the Fourth Proportional to 16,819.19, 23,209.53 and 9,264.08

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Solution

The fourth proportional to 16,819.19, 23,209.53 and 9,264.08 is: 12,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.19 : 23,209.53 = 9,264.08 : x
  2. Step 2: Convert to fraction form
    16,819.19/23,209.53 = 9,264.08/x
  3. Step 3: Cross multiply
    16,819.19x = 23,209.53 × 9,264.08
  4. Step 4: Simplify right side
    16,819.19x = 215,014,826.63
  5. Step 5: Solve for x
    x = 215,014,826.63/16,819.19
  6. Step 6: Final answer
    x = 12,783.90

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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.