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Finding the Fourth Proportional to 21,529.84, 29,710.92 and 12,100

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Solution

The fourth proportional to 21,529.84, 29,710.92 and 12,100 is: 16,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,529.84 : 29,710.92 = 12,100 : x
  2. Step 2: Convert to fraction form
    21,529.84/29,710.92 = 12,100/x
  3. Step 3: Cross multiply
    21,529.84x = 29,710.92 × 12,100
  4. Step 4: Simplify right side
    21,529.84x = 359,502,132
  5. Step 5: Solve for x
    x = 359,502,132/21,529.84
  6. Step 6: Final answer
    x = 16,697.85

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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.