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Finding the Fourth Proportional to 12,365.66, 18,533.27 and 7,033.32

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Solution

The fourth proportional to 12,365.66, 18,533.27 and 7,033.32 is: 10,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.66 : 18,533.27 = 7,033.32 : x
  2. Step 2: Convert to fraction form
    12,365.66/18,533.27 = 7,033.32/x
  3. Step 3: Cross multiply
    12,365.66x = 18,533.27 × 7,033.32
  4. Step 4: Simplify right side
    12,365.66x = 130,350,343.47
  5. Step 5: Solve for x
    x = 130,350,343.47/12,365.66
  6. Step 6: Final answer
    x = 10,541.31

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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.