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Finding the Fourth Proportional to 17,873.36, 26,814.54 and 10,484

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Solution

The fourth proportional to 17,873.36, 26,814.54 and 10,484 is: 15,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,873.36 : 26,814.54 = 10,484 : x
  2. Step 2: Convert to fraction form
    17,873.36/26,814.54 = 10,484/x
  3. Step 3: Cross multiply
    17,873.36x = 26,814.54 × 10,484
  4. Step 4: Simplify right side
    17,873.36x = 281,123,637.36
  5. Step 5: Solve for x
    x = 281,123,637.36/17,873.36
  6. Step 6: Final answer
    x = 15,728.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.