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Finding the Fourth Proportional to 13,900.65, 19,182.75 and 7,527.08

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Solution

The fourth proportional to 13,900.65, 19,182.75 and 7,527.08 is: 10,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.65 : 19,182.75 = 7,527.08 : x
  2. Step 2: Convert to fraction form
    13,900.65/19,182.75 = 7,527.08/x
  3. Step 3: Cross multiply
    13,900.65x = 19,182.75 × 7,527.08
  4. Step 4: Simplify right side
    13,900.65x = 144,389,997.96
  5. Step 5: Solve for x
    x = 144,389,997.96/13,900.65
  6. Step 6: Final answer
    x = 10,387.28

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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.