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Finding the Fourth Proportional to 26,464.59, 39,695.94 and 6,742.98

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Solution

The fourth proportional to 26,464.59, 39,695.94 and 6,742.98 is: 10,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,464.59 : 39,695.94 = 6,742.98 : x
  2. Step 2: Convert to fraction form
    26,464.59/39,695.94 = 6,742.98/x
  3. Step 3: Cross multiply
    26,464.59x = 39,695.94 × 6,742.98
  4. Step 4: Simplify right side
    26,464.59x = 267,668,929.50
  5. Step 5: Solve for x
    x = 267,668,929.50/26,464.59
  6. Step 6: Final answer
    x = 10,114.23

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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.