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Finding the Fourth Proportional to 12,376.31, 17,078.02 and 7,596.46

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Solution

The fourth proportional to 12,376.31, 17,078.02 and 7,596.46 is: 10,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.31 : 17,078.02 = 7,596.46 : x
  2. Step 2: Convert to fraction form
    12,376.31/17,078.02 = 7,596.46/x
  3. Step 3: Cross multiply
    12,376.31x = 17,078.02 × 7,596.46
  4. Step 4: Simplify right side
    12,376.31x = 129,732,495.81
  5. Step 5: Solve for x
    x = 129,732,495.81/12,376.31
  6. Step 6: Final answer
    x = 10,482.32

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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.