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Finding the Fourth Proportional to 21,533.28, 29,714.64 and 12,101.76

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Solution

The fourth proportional to 21,533.28, 29,714.64 and 12,101.76 is: 16,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.28 : 29,714.64 = 12,101.76 : x
  2. Step 2: Convert to fraction form
    21,533.28/29,714.64 = 12,101.76/x
  3. Step 3: Cross multiply
    21,533.28x = 29,714.64 × 12,101.76
  4. Step 4: Simplify right side
    21,533.28x = 359,599,441.77
  5. Step 5: Solve for x
    x = 359,599,441.77/21,533.28
  6. Step 6: Final answer
    x = 16,699.71

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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.