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Finding the Fourth Proportional to 19,564.68, 29,266.74 and 16,282.20

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Solution

The fourth proportional to 19,564.68, 29,266.74 and 16,282.20 is: 24,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.68 : 29,266.74 = 16,282.20 : x
  2. Step 2: Convert to fraction form
    19,564.68/29,266.74 = 16,282.20/x
  3. Step 3: Cross multiply
    19,564.68x = 29,266.74 × 16,282.20
  4. Step 4: Simplify right side
    19,564.68x = 476,526,914.03
  5. Step 5: Solve for x
    x = 476,526,914.03/19,564.68
  6. Step 6: Final answer
    x = 24,356.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.