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Finding the Fourth Proportional to 13,527.80, 18,667.67 and 7,558.29

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Solution

The fourth proportional to 13,527.80, 18,667.67 and 7,558.29 is: 10,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.80 : 18,667.67 = 7,558.29 : x
  2. Step 2: Convert to fraction form
    13,527.80/18,667.67 = 7,558.29/x
  3. Step 3: Cross multiply
    13,527.80x = 18,667.67 × 7,558.29
  4. Step 4: Simplify right side
    13,527.80x = 141,095,625.69
  5. Step 5: Solve for x
    x = 141,095,625.69/13,527.80
  6. Step 6: Final answer
    x = 10,430.05

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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.