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Finding the Fourth Proportional to 18,140.47, 25,032.47 and 10,181.16

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Solution

The fourth proportional to 18,140.47, 25,032.47 and 10,181.16 is: 14,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.47 : 25,032.47 = 10,181.16 : x
  2. Step 2: Convert to fraction form
    18,140.47/25,032.47 = 10,181.16/x
  3. Step 3: Cross multiply
    18,140.47x = 25,032.47 × 10,181.16
  4. Step 4: Simplify right side
    18,140.47x = 254,859,582.27
  5. Step 5: Solve for x
    x = 254,859,582.27/18,140.47
  6. Step 6: Final answer
    x = 14,049.23

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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.