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Finding the Fourth Proportional to 21,533.63, 29,716.11 and 12,102.21

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Solution

The fourth proportional to 21,533.63, 29,716.11 and 12,102.21 is: 16,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.63 : 29,716.11 = 12,102.21 : x
  2. Step 2: Convert to fraction form
    21,533.63/29,716.11 = 12,102.21/x
  3. Step 3: Cross multiply
    21,533.63x = 29,716.11 × 12,102.21
  4. Step 4: Simplify right side
    21,533.63x = 359,630,603.60
  5. Step 5: Solve for x
    x = 359,630,603.60/21,533.63
  6. Step 6: Final answer
    x = 16,700.89

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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.