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Finding the Fourth Proportional to 15,821.29, 21,830.97 and 8,747.74

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Solution

The fourth proportional to 15,821.29, 21,830.97 and 8,747.74 is: 12,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.29 : 21,830.97 = 8,747.74 : x
  2. Step 2: Convert to fraction form
    15,821.29/21,830.97 = 8,747.74/x
  3. Step 3: Cross multiply
    15,821.29x = 21,830.97 × 8,747.74
  4. Step 4: Simplify right side
    15,821.29x = 190,971,649.51
  5. Step 5: Solve for x
    x = 190,971,649.51/15,821.29
  6. Step 6: Final answer
    x = 12,070.55

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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.