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Finding the Fourth Proportional to 21,134.16, 29,165.76 and 11,702.88

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Solution

The fourth proportional to 21,134.16, 29,165.76 and 11,702.88 is: 16,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.16 : 29,165.76 = 11,702.88 : x
  2. Step 2: Convert to fraction form
    21,134.16/29,165.76 = 11,702.88/x
  3. Step 3: Cross multiply
    21,134.16x = 29,165.76 × 11,702.88
  4. Step 4: Simplify right side
    21,134.16x = 341,323,389.39
  5. Step 5: Solve for x
    x = 341,323,389.39/21,134.16
  6. Step 6: Final answer
    x = 16,150.32

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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.