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Finding the Fourth Proportional to 27,103.46, 40,655.49 and 9,560.98

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Solution

The fourth proportional to 27,103.46, 40,655.49 and 9,560.98 is: 14,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,103.46 : 40,655.49 = 9,560.98 : x
  2. Step 2: Convert to fraction form
    27,103.46/40,655.49 = 9,560.98/x
  3. Step 3: Cross multiply
    27,103.46x = 40,655.49 × 9,560.98
  4. Step 4: Simplify right side
    27,103.46x = 388,706,341.75
  5. Step 5: Solve for x
    x = 388,706,341.75/27,103.46
  6. Step 6: Final answer
    x = 14,341.58

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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.