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Finding the Fourth Proportional to 26,020, 39,030 and 9,604

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Solution

The fourth proportional to 26,020, 39,030 and 9,604 is: 14,406

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,020 : 39,030 = 9,604 : x
  2. Step 2: Convert to fraction form
    26,020/39,030 = 9,604/x
  3. Step 3: Cross multiply
    26,020x = 39,030 × 9,604
  4. Step 4: Simplify right side
    26,020x = 374,844,120
  5. Step 5: Solve for x
    x = 374,844,120/26,020
  6. Step 6: Final answer
    x = 14,406

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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.