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Finding the Fourth Proportional to 16,548.74, 22,834.72 and 9,831.89

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Solution

The fourth proportional to 16,548.74, 22,834.72 and 9,831.89 is: 13,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.74 : 22,834.72 = 9,831.89 : x
  2. Step 2: Convert to fraction form
    16,548.74/22,834.72 = 9,831.89/x
  3. Step 3: Cross multiply
    16,548.74x = 22,834.72 × 9,831.89
  4. Step 4: Simplify right side
    16,548.74x = 224,508,353.34
  5. Step 5: Solve for x
    x = 224,508,353.34/16,548.74
  6. Step 6: Final answer
    x = 13,566.49

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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.