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Finding the Fourth Proportional to 12,230.20, 16,852.62 and 10,113.40

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Solution

The fourth proportional to 12,230.20, 16,852.62 and 10,113.40 is: 13,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.20 : 16,852.62 = 10,113.40 : x
  2. Step 2: Convert to fraction form
    12,230.20/16,852.62 = 10,113.40/x
  3. Step 3: Cross multiply
    12,230.20x = 16,852.62 × 10,113.40
  4. Step 4: Simplify right side
    12,230.20x = 170,437,287.11
  5. Step 5: Solve for x
    x = 170,437,287.11/12,230.20
  6. Step 6: Final answer
    x = 13,935.77

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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.