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Finding the Fourth Proportional to 27,294.96, 40,893.70 and 14,807

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Solution

The fourth proportional to 27,294.96, 40,893.70 and 14,807 is: 22,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.96 : 40,893.70 = 14,807 : x
  2. Step 2: Convert to fraction form
    27,294.96/40,893.70 = 14,807/x
  3. Step 3: Cross multiply
    27,294.96x = 40,893.70 × 14,807
  4. Step 4: Simplify right side
    27,294.96x = 605,513,015.90
  5. Step 5: Solve for x
    x = 605,513,015.90/27,294.96
  6. Step 6: Final answer
    x = 22,184.06

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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.