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Finding the Fourth Proportional to 14,503.08, 21,739.14 and 5,734.20

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Solution

The fourth proportional to 14,503.08, 21,739.14 and 5,734.20 is: 8,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.08 : 21,739.14 = 5,734.20 : x
  2. Step 2: Convert to fraction form
    14,503.08/21,739.14 = 5,734.20/x
  3. Step 3: Cross multiply
    14,503.08x = 21,739.14 × 5,734.20
  4. Step 4: Simplify right side
    14,503.08x = 124,656,576.59
  5. Step 5: Solve for x
    x = 124,656,576.59/14,503.08
  6. Step 6: Final answer
    x = 8,595.18

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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.