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Finding the Fourth Proportional to 21,926.94, 32,891.49 and 9,448.62

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Solution

The fourth proportional to 21,926.94, 32,891.49 and 9,448.62 is: 14,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926.94 : 32,891.49 = 9,448.62 : x
  2. Step 2: Convert to fraction form
    21,926.94/32,891.49 = 9,448.62/x
  3. Step 3: Cross multiply
    21,926.94x = 32,891.49 × 9,448.62
  4. Step 4: Simplify right side
    21,926.94x = 310,779,190.24
  5. Step 5: Solve for x
    x = 310,779,190.24/21,926.94
  6. Step 6: Final answer
    x = 14,173.40

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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.