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Finding the Fourth Proportional to 13,702.63, 18,892.42 and 11,182.18

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Solution

The fourth proportional to 13,702.63, 18,892.42 and 11,182.18 is: 15,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.63 : 18,892.42 = 11,182.18 : x
  2. Step 2: Convert to fraction form
    13,702.63/18,892.42 = 11,182.18/x
  3. Step 3: Cross multiply
    13,702.63x = 18,892.42 × 11,182.18
  4. Step 4: Simplify right side
    13,702.63x = 211,258,441.08
  5. Step 5: Solve for x
    x = 211,258,441.08/13,702.63
  6. Step 6: Final answer
    x = 15,417.36

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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.