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Finding the Fourth Proportional to 21,035.69, 29,024.07 and 12,857.22

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Solution

The fourth proportional to 21,035.69, 29,024.07 and 12,857.22 is: 17,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.69 : 29,024.07 = 12,857.22 : x
  2. Step 2: Convert to fraction form
    21,035.69/29,024.07 = 12,857.22/x
  3. Step 3: Cross multiply
    21,035.69x = 29,024.07 × 12,857.22
  4. Step 4: Simplify right side
    21,035.69x = 373,168,853.29
  5. Step 5: Solve for x
    x = 373,168,853.29/21,035.69
  6. Step 6: Final answer
    x = 17,739.80

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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.