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Finding the Fourth Proportional to 10,230.40, 15,345.60 and 9,355.60

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Solution

The fourth proportional to 10,230.40, 15,345.60 and 9,355.60 is: 14,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.40 : 15,345.60 = 9,355.60 : x
  2. Step 2: Convert to fraction form
    10,230.40/15,345.60 = 9,355.60/x
  3. Step 3: Cross multiply
    10,230.40x = 15,345.60 × 9,355.60
  4. Step 4: Simplify right side
    10,230.40x = 143,567,295.36
  5. Step 5: Solve for x
    x = 143,567,295.36/10,230.40
  6. Step 6: Final answer
    x = 14,033.40

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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.