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Finding the Fourth Proportional to 22,085.79, 30,470.04 and 14,114.17

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Solution

The fourth proportional to 22,085.79, 30,470.04 and 14,114.17 is: 19,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,085.79 : 30,470.04 = 14,114.17 : x
  2. Step 2: Convert to fraction form
    22,085.79/30,470.04 = 14,114.17/x
  3. Step 3: Cross multiply
    22,085.79x = 30,470.04 × 14,114.17
  4. Step 4: Simplify right side
    22,085.79x = 430,059,324.47
  5. Step 5: Solve for x
    x = 430,059,324.47/22,085.79
  6. Step 6: Final answer
    x = 19,472.22

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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.