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Finding the Fourth Proportional to 21,052.50, 29,051.42 and 12,097.95

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Solution

The fourth proportional to 21,052.50, 29,051.42 and 12,097.95 is: 16,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052.50 : 29,051.42 = 12,097.95 : x
  2. Step 2: Convert to fraction form
    21,052.50/29,051.42 = 12,097.95/x
  3. Step 3: Cross multiply
    21,052.50x = 29,051.42 × 12,097.95
  4. Step 4: Simplify right side
    21,052.50x = 351,462,626.59
  5. Step 5: Solve for x
    x = 351,462,626.59/21,052.50
  6. Step 6: Final answer
    x = 16,694.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.