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Finding the Fourth Proportional to 26,280.98, 39,398.02 and 9,637.12

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Solution

The fourth proportional to 26,280.98, 39,398.02 and 9,637.12 is: 14,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,280.98 : 39,398.02 = 9,637.12 : x
  2. Step 2: Convert to fraction form
    26,280.98/39,398.02 = 9,637.12/x
  3. Step 3: Cross multiply
    26,280.98x = 39,398.02 × 9,637.12
  4. Step 4: Simplify right side
    26,280.98x = 379,683,446.50
  5. Step 5: Solve for x
    x = 379,683,446.50/26,280.98
  6. Step 6: Final answer
    x = 14,447.08

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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.