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Finding the Fourth Proportional to 13,303.57, 18,362.46 and 7,857.41

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Solution

The fourth proportional to 13,303.57, 18,362.46 and 7,857.41 is: 10,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.57 : 18,362.46 = 7,857.41 : x
  2. Step 2: Convert to fraction form
    13,303.57/18,362.46 = 7,857.41/x
  3. Step 3: Cross multiply
    13,303.57x = 18,362.46 × 7,857.41
  4. Step 4: Simplify right side
    13,303.57x = 144,281,337.54
  5. Step 5: Solve for x
    x = 144,281,337.54/13,303.57
  6. Step 6: Final answer
    x = 10,845.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.