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Finding the Fourth Proportional to 14,456.22, 21,681.90 and 5,693.64

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Solution

The fourth proportional to 14,456.22, 21,681.90 and 5,693.64 is: 8,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.22 : 21,681.90 = 5,693.64 : x
  2. Step 2: Convert to fraction form
    14,456.22/21,681.90 = 5,693.64/x
  3. Step 3: Cross multiply
    14,456.22x = 21,681.90 × 5,693.64
  4. Step 4: Simplify right side
    14,456.22x = 123,448,933.12
  5. Step 5: Solve for x
    x = 123,448,933.12/14,456.22
  6. Step 6: Final answer
    x = 8,539.50

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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.