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Finding the Fourth Proportional to 21,533.58, 29,716.68 and 12,102.14

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Solution

The fourth proportional to 21,533.58, 29,716.68 and 12,102.14 is: 16,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.58 : 29,716.68 = 12,102.14 : x
  2. Step 2: Convert to fraction form
    21,533.58/29,716.68 = 12,102.14/x
  3. Step 3: Cross multiply
    21,533.58x = 29,716.68 × 12,102.14
  4. Step 4: Simplify right side
    21,533.58x = 359,635,421.70
  5. Step 5: Solve for x
    x = 359,635,421.70/21,533.58
  6. Step 6: Final answer
    x = 16,701.14

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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.