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Finding the Fourth Proportional to 13,086.19, 19,702.98 and 11,536.16

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Solution

The fourth proportional to 13,086.19, 19,702.98 and 11,536.16 is: 17,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.19 : 19,702.98 = 11,536.16 : x
  2. Step 2: Convert to fraction form
    13,086.19/19,702.98 = 11,536.16/x
  3. Step 3: Cross multiply
    13,086.19x = 19,702.98 × 11,536.16
  4. Step 4: Simplify right side
    13,086.19x = 227,296,631.24
  5. Step 5: Solve for x
    x = 227,296,631.24/13,086.19
  6. Step 6: Final answer
    x = 17,369.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.