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Finding the Fourth Proportional to 13,076.95, 18,045.80 and 7,412.21

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Solution

The fourth proportional to 13,076.95, 18,045.80 and 7,412.21 is: 10,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.95 : 18,045.80 = 7,412.21 : x
  2. Step 2: Convert to fraction form
    13,076.95/18,045.80 = 7,412.21/x
  3. Step 3: Cross multiply
    13,076.95x = 18,045.80 × 7,412.21
  4. Step 4: Simplify right side
    13,076.95x = 133,759,370.60
  5. Step 5: Solve for x
    x = 133,759,370.60/13,076.95
  6. Step 6: Final answer
    x = 10,228.64

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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.