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Finding the Fourth Proportional to 12,527.34, 17,299.35 and 9,378.06

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Solution

The fourth proportional to 12,527.34, 17,299.35 and 9,378.06 is: 12,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.34 : 17,299.35 = 9,378.06 : x
  2. Step 2: Convert to fraction form
    12,527.34/17,299.35 = 9,378.06/x
  3. Step 3: Cross multiply
    12,527.34x = 17,299.35 × 9,378.06
  4. Step 4: Simplify right side
    12,527.34x = 162,234,342.26
  5. Step 5: Solve for x
    x = 162,234,342.26/12,527.34
  6. Step 6: Final answer
    x = 12,950.42

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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.