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Finding the Fourth Proportional to 18,214.16, 25,135.14 and 10,257.28

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Solution

The fourth proportional to 18,214.16, 25,135.14 and 10,257.28 is: 14,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.16 : 25,135.14 = 10,257.28 : x
  2. Step 2: Convert to fraction form
    18,214.16/25,135.14 = 10,257.28/x
  3. Step 3: Cross multiply
    18,214.16x = 25,135.14 × 10,257.28
  4. Step 4: Simplify right side
    18,214.16x = 257,818,168.82
  5. Step 5: Solve for x
    x = 257,818,168.82/18,214.16
  6. Step 6: Final answer
    x = 14,154.82

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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.