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Finding the Fourth Proportional to 11,623.41, 17,437.86 and 9,260.46

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Solution

The fourth proportional to 11,623.41, 17,437.86 and 9,260.46 is: 13,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.41 : 17,437.86 = 9,260.46 : x
  2. Step 2: Convert to fraction form
    11,623.41/17,437.86 = 9,260.46/x
  3. Step 3: Cross multiply
    11,623.41x = 17,437.86 × 9,260.46
  4. Step 4: Simplify right side
    11,623.41x = 161,482,605.02
  5. Step 5: Solve for x
    x = 161,482,605.02/11,623.41
  6. Step 6: Final answer
    x = 13,892.88

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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.