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Finding the Fourth Proportional to 21,154.78, 29,196.64 and 12,200.50

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Solution

The fourth proportional to 21,154.78, 29,196.64 and 12,200.50 is: 16,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.78 : 29,196.64 = 12,200.50 : x
  2. Step 2: Convert to fraction form
    21,154.78/29,196.64 = 12,200.50/x
  3. Step 3: Cross multiply
    21,154.78x = 29,196.64 × 12,200.50
  4. Step 4: Simplify right side
    21,154.78x = 356,213,606.32
  5. Step 5: Solve for x
    x = 356,213,606.32/21,154.78
  6. Step 6: Final answer
    x = 16,838.45

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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.