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Finding the Fourth Proportional to 13,098.12, 18,075.81 and 7,130.19

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Solution

The fourth proportional to 13,098.12, 18,075.81 and 7,130.19 is: 9,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.12 : 18,075.81 = 7,130.19 : x
  2. Step 2: Convert to fraction form
    13,098.12/18,075.81 = 7,130.19/x
  3. Step 3: Cross multiply
    13,098.12x = 18,075.81 × 7,130.19
  4. Step 4: Simplify right side
    13,098.12x = 128,883,959.70
  5. Step 5: Solve for x
    x = 128,883,959.70/13,098.12
  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.