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Finding the Fourth Proportional to 12,156.10, 18,202.50 and 11,417.28

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Solution

The fourth proportional to 12,156.10, 18,202.50 and 11,417.28 is: 17,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.10 : 18,202.50 = 11,417.28 : x
  2. Step 2: Convert to fraction form
    12,156.10/18,202.50 = 11,417.28/x
  3. Step 3: Cross multiply
    12,156.10x = 18,202.50 × 11,417.28
  4. Step 4: Simplify right side
    12,156.10x = 207,823,039.20
  5. Step 5: Solve for x
    x = 207,823,039.20/12,156.10
  6. Step 6: Final answer
    x = 17,096.19

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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.