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Finding the Fourth Proportional to 21,154.19, 29,186.12 and 12,200.50

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Solution

The fourth proportional to 21,154.19, 29,186.12 and 12,200.50 is: 16,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.19 : 29,186.12 = 12,200.50 : x
  2. Step 2: Convert to fraction form
    21,154.19/29,186.12 = 12,200.50/x
  3. Step 3: Cross multiply
    21,154.19x = 29,186.12 × 12,200.50
  4. Step 4: Simplify right side
    21,154.19x = 356,085,050.13
  5. Step 5: Solve for x
    x = 356,085,050.13/21,154.19
  6. Step 6: Final answer
    x = 16,832.84

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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.