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Finding the Fourth Proportional to 27,133.80, 40,694.55 and 9,603.63

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Solution

The fourth proportional to 27,133.80, 40,694.55 and 9,603.63 is: 14,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,133.80 : 40,694.55 = 9,603.63 : x
  2. Step 2: Convert to fraction form
    27,133.80/40,694.55 = 9,603.63/x
  3. Step 3: Cross multiply
    27,133.80x = 40,694.55 × 9,603.63
  4. Step 4: Simplify right side
    27,133.80x = 390,815,401.22
  5. Step 5: Solve for x
    x = 390,815,401.22/27,133.80
  6. Step 6: Final answer
    x = 14,403.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.