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Finding the Fourth Proportional to 21,145.92, 29,180.40 and 11,714.40

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Solution

The fourth proportional to 21,145.92, 29,180.40 and 11,714.40 is: 16,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.92 : 29,180.40 = 11,714.40 : x
  2. Step 2: Convert to fraction form
    21,145.92/29,180.40 = 11,714.40/x
  3. Step 3: Cross multiply
    21,145.92x = 29,180.40 × 11,714.40
  4. Step 4: Simplify right side
    21,145.92x = 341,830,877.76
  5. Step 5: Solve for x
    x = 341,830,877.76/21,145.92
  6. Step 6: Final answer
    x = 16,165.33

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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.