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Finding the Fourth Proportional to 16,543.09, 22,831.42 and 9,828.74

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Solution

The fourth proportional to 16,543.09, 22,831.42 and 9,828.74 is: 13,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.09 : 22,831.42 = 9,828.74 : x
  2. Step 2: Convert to fraction form
    16,543.09/22,831.42 = 9,828.74/x
  3. Step 3: Cross multiply
    16,543.09x = 22,831.42 × 9,828.74
  4. Step 4: Simplify right side
    16,543.09x = 224,403,976.85
  5. Step 5: Solve for x
    x = 224,403,976.85/16,543.09
  6. Step 6: Final answer
    x = 13,564.82

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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.