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Finding the Fourth Proportional to 16,042.16, 22,126.56 and 12,395

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Solution

The fourth proportional to 16,042.16, 22,126.56 and 12,395 is: 17,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.16 : 22,126.56 = 12,395 : x
  2. Step 2: Convert to fraction form
    16,042.16/22,126.56 = 12,395/x
  3. Step 3: Cross multiply
    16,042.16x = 22,126.56 × 12,395
  4. Step 4: Simplify right side
    16,042.16x = 274,258,711.20
  5. Step 5: Solve for x
    x = 274,258,711.20/16,042.16
  6. Step 6: Final answer
    x = 17,096.12

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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.