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Finding the Fourth Proportional to 12,191.06, 16,823.98 and 7,477.94

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Solution

The fourth proportional to 12,191.06, 16,823.98 and 7,477.94 is: 10,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.06 : 16,823.98 = 7,477.94 : x
  2. Step 2: Convert to fraction form
    12,191.06/16,823.98 = 7,477.94/x
  3. Step 3: Cross multiply
    12,191.06x = 16,823.98 × 7,477.94
  4. Step 4: Simplify right side
    12,191.06x = 125,808,713.00
  5. Step 5: Solve for x
    x = 125,808,713.00/12,191.06
  6. Step 6: Final answer
    x = 10,319.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.