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Finding the Fourth Proportional to 18,256.07, 25,192.77 and 10,298

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Solution

The fourth proportional to 18,256.07, 25,192.77 and 10,298 is: 14,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256.07 : 25,192.77 = 10,298 : x
  2. Step 2: Convert to fraction form
    18,256.07/25,192.77 = 10,298/x
  3. Step 3: Cross multiply
    18,256.07x = 25,192.77 × 10,298
  4. Step 4: Simplify right side
    18,256.07x = 259,435,145.46
  5. Step 5: Solve for x
    x = 259,435,145.46/18,256.07
  6. Step 6: Final answer
    x = 14,210.90

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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.