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Finding the Fourth Proportional to 12,980.80, 17,922.96 and 10,141.12

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Solution

The fourth proportional to 12,980.80, 17,922.96 and 10,141.12 is: 14,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.80 : 17,922.96 = 10,141.12 : x
  2. Step 2: Convert to fraction form
    12,980.80/17,922.96 = 10,141.12/x
  3. Step 3: Cross multiply
    12,980.80x = 17,922.96 × 10,141.12
  4. Step 4: Simplify right side
    12,980.80x = 181,758,888.12
  5. Step 5: Solve for x
    x = 181,758,888.12/12,980.80
  6. Step 6: Final answer
    x = 14,002.13

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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.