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Finding the Fourth Proportional to 13,101.68, 18,080.30 and 7,133.40

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Solution

The fourth proportional to 13,101.68, 18,080.30 and 7,133.40 is: 9,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.68 : 18,080.30 = 7,133.40 : x
  2. Step 2: Convert to fraction form
    13,101.68/18,080.30 = 7,133.40/x
  3. Step 3: Cross multiply
    13,101.68x = 18,080.30 × 7,133.40
  4. Step 4: Simplify right side
    13,101.68x = 128,974,029.85
  5. Step 5: Solve for x
    x = 128,974,029.85/13,101.68
  6. Step 6: Final answer
    x = 9,844.08

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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.