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Finding the Fourth Proportional to 13,098.68, 18,076.22 and 7,130.40

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Solution

The fourth proportional to 13,098.68, 18,076.22 and 7,130.40 is: 9,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.68 : 18,076.22 = 7,130.40 : x
  2. Step 2: Convert to fraction form
    13,098.68/18,076.22 = 7,130.40/x
  3. Step 3: Cross multiply
    13,098.68x = 18,076.22 × 7,130.40
  4. Step 4: Simplify right side
    13,098.68x = 128,890,679.09
  5. Step 5: Solve for x
    x = 128,890,679.09/13,098.68
  6. Step 6: Final answer
    x = 9,839.97

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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.