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Finding the Fourth Proportional to 18,547.47, 27,821.25 and 5,400.16

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Solution

The fourth proportional to 18,547.47, 27,821.25 and 5,400.16 is: 8,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.47 : 27,821.25 = 5,400.16 : x
  2. Step 2: Convert to fraction form
    18,547.47/27,821.25 = 5,400.16/x
  3. Step 3: Cross multiply
    18,547.47x = 27,821.25 × 5,400.16
  4. Step 4: Simplify right side
    18,547.47x = 150,239,201.40
  5. Step 5: Solve for x
    x = 150,239,201.40/18,547.47
  6. Step 6: Final answer
    x = 8,100.25

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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.