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Finding the Fourth Proportional to 12,962.91, 19,415.19 and 9,084.63

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Solution

The fourth proportional to 12,962.91, 19,415.19 and 9,084.63 is: 13,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.91 : 19,415.19 = 9,084.63 : x
  2. Step 2: Convert to fraction form
    12,962.91/19,415.19 = 9,084.63/x
  3. Step 3: Cross multiply
    12,962.91x = 19,415.19 × 9,084.63
  4. Step 4: Simplify right side
    12,962.91x = 176,379,817.53
  5. Step 5: Solve for x
    x = 176,379,817.53/12,962.91
  6. Step 6: Final answer
    x = 13,606.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.