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Finding the Fourth Proportional to 14,555.70, 21,831.42 and 7,158.17

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Solution

The fourth proportional to 14,555.70, 21,831.42 and 7,158.17 is: 10,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555.70 : 21,831.42 = 7,158.17 : x
  2. Step 2: Convert to fraction form
    14,555.70/21,831.42 = 7,158.17/x
  3. Step 3: Cross multiply
    14,555.70x = 21,831.42 × 7,158.17
  4. Step 4: Simplify right side
    14,555.70x = 156,273,097.12
  5. Step 5: Solve for x
    x = 156,273,097.12/14,555.70
  6. Step 6: Final answer
    x = 10,736.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.