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Finding the Fourth Proportional to 11,101.77, 16,571.67 and 9,700.50

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Solution

The fourth proportional to 11,101.77, 16,571.67 and 9,700.50 is: 14,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101.77 : 16,571.67 = 9,700.50 : x
  2. Step 2: Convert to fraction form
    11,101.77/16,571.67 = 9,700.50/x
  3. Step 3: Cross multiply
    11,101.77x = 16,571.67 × 9,700.50
  4. Step 4: Simplify right side
    11,101.77x = 160,753,484.84
  5. Step 5: Solve for x
    x = 160,753,484.84/11,101.77
  6. Step 6: Final answer
    x = 14,479.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.