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Finding the Fourth Proportional to 18,533.94, 27,802.46 and 5,386.32

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Solution

The fourth proportional to 18,533.94, 27,802.46 and 5,386.32 is: 8,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.94 : 27,802.46 = 5,386.32 : x
  2. Step 2: Convert to fraction form
    18,533.94/27,802.46 = 5,386.32/x
  3. Step 3: Cross multiply
    18,533.94x = 27,802.46 × 5,386.32
  4. Step 4: Simplify right side
    18,533.94x = 149,752,946.35
  5. Step 5: Solve for x
    x = 149,752,946.35/18,533.94
  6. Step 6: Final answer
    x = 8,079.93

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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.