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Finding the Fourth Proportional to 16,694.64, 23,038.62 and 10,407

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Solution

The fourth proportional to 16,694.64, 23,038.62 and 10,407 is: 14,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.64 : 23,038.62 = 10,407 : x
  2. Step 2: Convert to fraction form
    16,694.64/23,038.62 = 10,407/x
  3. Step 3: Cross multiply
    16,694.64x = 23,038.62 × 10,407
  4. Step 4: Simplify right side
    16,694.64x = 239,762,918.34
  5. Step 5: Solve for x
    x = 239,762,918.34/16,694.64
  6. Step 6: Final answer
    x = 14,361.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.