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Finding the Fourth Proportional to 12,313.56, 18,478.98 and 9,546.60

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Solution

The fourth proportional to 12,313.56, 18,478.98 and 9,546.60 is: 14,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.56 : 18,478.98 = 9,546.60 : x
  2. Step 2: Convert to fraction form
    12,313.56/18,478.98 = 9,546.60/x
  3. Step 3: Cross multiply
    12,313.56x = 18,478.98 × 9,546.60
  4. Step 4: Simplify right side
    12,313.56x = 176,411,430.47
  5. Step 5: Solve for x
    x = 176,411,430.47/12,313.56
  6. Step 6: Final answer
    x = 14,326.60

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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.