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Finding the Fourth Proportional to 13,100.94, 19,649.93 and 12,330

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Solution

The fourth proportional to 13,100.94, 19,649.93 and 12,330 is: 18,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.94 : 19,649.93 = 12,330 : x
  2. Step 2: Convert to fraction form
    13,100.94/19,649.93 = 12,330/x
  3. Step 3: Cross multiply
    13,100.94x = 19,649.93 × 12,330
  4. Step 4: Simplify right side
    13,100.94x = 242,283,575.25
  5. Step 5: Solve for x
    x = 242,283,575.25/13,100.94
  6. Step 6: Final answer
    x = 18,493.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.