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Finding the Fourth Proportional to 13,777.04, 19,016.10 and 12,842.10

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Solution

The fourth proportional to 13,777.04, 19,016.10 and 12,842.10 is: 17,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.04 : 19,016.10 = 12,842.10 : x
  2. Step 2: Convert to fraction form
    13,777.04/19,016.10 = 12,842.10/x
  3. Step 3: Cross multiply
    13,777.04x = 19,016.10 × 12,842.10
  4. Step 4: Simplify right side
    13,777.04x = 244,206,657.81
  5. Step 5: Solve for x
    x = 244,206,657.81/13,777.04
  6. Step 6: Final answer
    x = 17,725.62

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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.