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Finding the Fourth Proportional to 21,106.82, 29,129.64 and 12,156.68

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Solution

The fourth proportional to 21,106.82, 29,129.64 and 12,156.68 is: 16,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.82 : 29,129.64 = 12,156.68 : x
  2. Step 2: Convert to fraction form
    21,106.82/29,129.64 = 12,156.68/x
  3. Step 3: Cross multiply
    21,106.82x = 29,129.64 × 12,156.68
  4. Step 4: Simplify right side
    21,106.82x = 354,119,712.00
  5. Step 5: Solve for x
    x = 354,119,712.00/21,106.82
  6. Step 6: Final answer
    x = 16,777.50

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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.