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Finding the Fourth Proportional to 13,098.42, 18,076.05 and 7,130.26

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Solution

The fourth proportional to 13,098.42, 18,076.05 and 7,130.26 is: 9,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.42 : 18,076.05 = 7,130.26 : x
  2. Step 2: Convert to fraction form
    13,098.42/18,076.05 = 7,130.26/x
  3. Step 3: Cross multiply
    13,098.42x = 18,076.05 × 7,130.26
  4. Step 4: Simplify right side
    13,098.42x = 128,886,936.27
  5. Step 5: Solve for x
    x = 128,886,936.27/13,098.42
  6. Step 6: Final answer
    x = 9,839.88

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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.