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Finding the Fourth Proportional to 13,080.41, 18,050.61 and 7,415

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Solution

The fourth proportional to 13,080.41, 18,050.61 and 7,415 is: 10,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080.41 : 18,050.61 = 7,415 : x
  2. Step 2: Convert to fraction form
    13,080.41/18,050.61 = 7,415/x
  3. Step 3: Cross multiply
    13,080.41x = 18,050.61 × 7,415
  4. Step 4: Simplify right side
    13,080.41x = 133,845,273.15
  5. Step 5: Solve for x
    x = 133,845,273.15/13,080.41
  6. Step 6: Final answer
    x = 10,232.50

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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.