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Finding the Fourth Proportional to 10,220.21, 14,064.04 and 9,044.09

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Solution

The fourth proportional to 10,220.21, 14,064.04 and 9,044.09 is: 12,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.21 : 14,064.04 = 9,044.09 : x
  2. Step 2: Convert to fraction form
    10,220.21/14,064.04 = 9,044.09/x
  3. Step 3: Cross multiply
    10,220.21x = 14,064.04 × 9,044.09
  4. Step 4: Simplify right side
    10,220.21x = 127,196,489.99
  5. Step 5: Solve for x
    x = 127,196,489.99/10,220.21
  6. Step 6: Final answer
    x = 12,445.58

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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.