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Finding the Fourth Proportional to 26,907.60, 40,312.80 and 16,507.20

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Solution

The fourth proportional to 26,907.60, 40,312.80 and 16,507.20 is: 24,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.60 : 40,312.80 = 16,507.20 : x
  2. Step 2: Convert to fraction form
    26,907.60/40,312.80 = 16,507.20/x
  3. Step 3: Cross multiply
    26,907.60x = 40,312.80 × 16,507.20
  4. Step 4: Simplify right side
    26,907.60x = 665,451,452.16
  5. Step 5: Solve for x
    x = 665,451,452.16/26,907.60
  6. Step 6: Final answer
    x = 24,730.99

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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.