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Finding the Fourth Proportional to 13,182.41, 19,771.56 and 4,417.40

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Solution

The fourth proportional to 13,182.41, 19,771.56 and 4,417.40 is: 6,625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.41 : 19,771.56 = 4,417.40 : x
  2. Step 2: Convert to fraction form
    13,182.41/19,771.56 = 4,417.40/x
  3. Step 3: Cross multiply
    13,182.41x = 19,771.56 × 4,417.40
  4. Step 4: Simplify right side
    13,182.41x = 87,338,938.57
  5. Step 5: Solve for x
    x = 87,338,938.57/13,182.41
  6. Step 6: Final answer
    x = 6,625.41

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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.