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Finding the Fourth Proportional to 20,742.40, 31,101.08 and 8,264.35

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Solution

The fourth proportional to 20,742.40, 31,101.08 and 8,264.35 is: 12,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.40 : 31,101.08 = 8,264.35 : x
  2. Step 2: Convert to fraction form
    20,742.40/31,101.08 = 8,264.35/x
  3. Step 3: Cross multiply
    20,742.40x = 31,101.08 × 8,264.35
  4. Step 4: Simplify right side
    20,742.40x = 257,030,210.50
  5. Step 5: Solve for x
    x = 257,030,210.50/20,742.40
  6. Step 6: Final answer
    x = 12,391.54

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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.