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Finding the Fourth Proportional to 13,064.60, 18,028.85 and 7,096.14

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Solution

The fourth proportional to 13,064.60, 18,028.85 and 7,096.14 is: 9,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.60 : 18,028.85 = 7,096.14 : x
  2. Step 2: Convert to fraction form
    13,064.60/18,028.85 = 7,096.14/x
  3. Step 3: Cross multiply
    13,064.60x = 18,028.85 × 7,096.14
  4. Step 4: Simplify right side
    13,064.60x = 127,935,261.38
  5. Step 5: Solve for x
    x = 127,935,261.38/13,064.60
  6. Step 6: Final answer
    x = 9,792.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.