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Finding the Fourth Proportional to 26,053.50, 39,082.05 and 12,902.34

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Solution

The fourth proportional to 26,053.50, 39,082.05 and 12,902.34 is: 19,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,053.50 : 39,082.05 = 12,902.34 : x
  2. Step 2: Convert to fraction form
    26,053.50/39,082.05 = 12,902.34/x
  3. Step 3: Cross multiply
    26,053.50x = 39,082.05 × 12,902.34
  4. Step 4: Simplify right side
    26,053.50x = 504,249,897.00
  5. Step 5: Solve for x
    x = 504,249,897.00/26,053.50
  6. Step 6: Final answer
    x = 19,354.40

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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.