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Finding the Fourth Proportional to 12,302.40, 18,453.60 and 9,537.60

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Solution

The fourth proportional to 12,302.40, 18,453.60 and 9,537.60 is: 14,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.40 : 18,453.60 = 9,537.60 : x
  2. Step 2: Convert to fraction form
    12,302.40/18,453.60 = 9,537.60/x
  3. Step 3: Cross multiply
    12,302.40x = 18,453.60 × 9,537.60
  4. Step 4: Simplify right side
    12,302.40x = 176,003,055.36
  5. Step 5: Solve for x
    x = 176,003,055.36/12,302.40
  6. Step 6: Final answer
    x = 14,306.40

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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.