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Finding the Fourth Proportional to 21,802.81, 30,083.22 and 12,847.05

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Solution

The fourth proportional to 21,802.81, 30,083.22 and 12,847.05 is: 17,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.81 : 30,083.22 = 12,847.05 : x
  2. Step 2: Convert to fraction form
    21,802.81/30,083.22 = 12,847.05/x
  3. Step 3: Cross multiply
    21,802.81x = 30,083.22 × 12,847.05
  4. Step 4: Simplify right side
    21,802.81x = 386,480,631.50
  5. Step 5: Solve for x
    x = 386,480,631.50/21,802.81
  6. Step 6: Final answer
    x = 17,726.18

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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.