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Finding the Fourth Proportional to 16,261, 22,431.54 and 10,946.76

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Solution

The fourth proportional to 16,261, 22,431.54 and 10,946.76 is: 15,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261 : 22,431.54 = 10,946.76 : x
  2. Step 2: Convert to fraction form
    16,261/22,431.54 = 10,946.76/x
  3. Step 3: Cross multiply
    16,261x = 22,431.54 × 10,946.76
  4. Step 4: Simplify right side
    16,261x = 245,552,684.81
  5. Step 5: Solve for x
    x = 245,552,684.81/16,261
  6. Step 6: Final answer
    x = 15,100.71

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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.