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Finding the Fourth Proportional to 21,802.71, 30,093.50 and 12,856.17

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Solution

The fourth proportional to 21,802.71, 30,093.50 and 12,856.17 is: 17,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.71 : 30,093.50 = 12,856.17 : x
  2. Step 2: Convert to fraction form
    21,802.71/30,093.50 = 12,856.17/x
  3. Step 3: Cross multiply
    21,802.71x = 30,093.50 × 12,856.17
  4. Step 4: Simplify right side
    21,802.71x = 386,887,087.61
  5. Step 5: Solve for x
    x = 386,887,087.61/21,802.71
  6. Step 6: Final answer
    x = 17,744.91

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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.