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Finding the Fourth Proportional to 12,376.46, 17,059.61 and 9,683.15

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Solution

The fourth proportional to 12,376.46, 17,059.61 and 9,683.15 is: 13,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.46 : 17,059.61 = 9,683.15 : x
  2. Step 2: Convert to fraction form
    12,376.46/17,059.61 = 9,683.15/x
  3. Step 3: Cross multiply
    12,376.46x = 17,059.61 × 9,683.15
  4. Step 4: Simplify right side
    12,376.46x = 165,190,701.48
  5. Step 5: Solve for x
    x = 165,190,701.48/12,376.46
  6. Step 6: Final answer
    x = 13,347.17

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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.