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Finding the Fourth Proportional to 16,644, 22,968.80 and 9,570.84

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Solution

The fourth proportional to 16,644, 22,968.80 and 9,570.84 is: 13,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644 : 22,968.80 = 9,570.84 : x
  2. Step 2: Convert to fraction form
    16,644/22,968.80 = 9,570.84/x
  3. Step 3: Cross multiply
    16,644x = 22,968.80 × 9,570.84
  4. Step 4: Simplify right side
    16,644x = 219,830,709.79
  5. Step 5: Solve for x
    x = 219,830,709.79/16,644
  6. Step 6: Final answer
    x = 13,207.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.