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Finding the Fourth Proportional to 13,291.12, 18,340.68 and 7,702.48

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Solution

The fourth proportional to 13,291.12, 18,340.68 and 7,702.48 is: 10,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.12 : 18,340.68 = 7,702.48 : x
  2. Step 2: Convert to fraction form
    13,291.12/18,340.68 = 7,702.48/x
  3. Step 3: Cross multiply
    13,291.12x = 18,340.68 × 7,702.48
  4. Step 4: Simplify right side
    13,291.12x = 141,268,720.89
  5. Step 5: Solve for x
    x = 141,268,720.89/13,291.12
  6. Step 6: Final answer
    x = 10,628.80

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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.