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Finding the Fourth Proportional to 13,098.14, 18,075.48 and 7,129.88

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Solution

The fourth proportional to 13,098.14, 18,075.48 and 7,129.88 is: 9,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.14 : 18,075.48 = 7,129.88 : x
  2. Step 2: Convert to fraction form
    13,098.14/18,075.48 = 7,129.88/x
  3. Step 3: Cross multiply
    13,098.14x = 18,075.48 × 7,129.88
  4. Step 4: Simplify right side
    13,098.14x = 128,876,003.34
  5. Step 5: Solve for x
    x = 128,876,003.34/13,098.14
  6. Step 6: Final answer
    x = 9,839.26

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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.