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Finding the Fourth Proportional to 17,797.60, 26,638.80 and 16,415.20

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Solution

The fourth proportional to 17,797.60, 26,638.80 and 16,415.20 is: 24,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.60 : 26,638.80 = 16,415.20 : x
  2. Step 2: Convert to fraction form
    17,797.60/26,638.80 = 16,415.20/x
  3. Step 3: Cross multiply
    17,797.60x = 26,638.80 × 16,415.20
  4. Step 4: Simplify right side
    17,797.60x = 437,281,229.76
  5. Step 5: Solve for x
    x = 437,281,229.76/17,797.60
  6. Step 6: Final answer
    x = 24,569.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.