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Finding the Fourth Proportional to 12,830.67, 17,665.16 and 11,173.95

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Solution

The fourth proportional to 12,830.67, 17,665.16 and 11,173.95 is: 15,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.67 : 17,665.16 = 11,173.95 : x
  2. Step 2: Convert to fraction form
    12,830.67/17,665.16 = 11,173.95/x
  3. Step 3: Cross multiply
    12,830.67x = 17,665.16 × 11,173.95
  4. Step 4: Simplify right side
    12,830.67x = 197,389,558.71
  5. Step 5: Solve for x
    x = 197,389,558.71/12,830.67
  6. Step 6: Final answer
    x = 15,384.20

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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.