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Finding the Fourth Proportional to 19,516, 26,924.73 and 12,805.33

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Solution

The fourth proportional to 19,516, 26,924.73 and 12,805.33 is: 17,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516 : 26,924.73 = 12,805.33 : x
  2. Step 2: Convert to fraction form
    19,516/26,924.73 = 12,805.33/x
  3. Step 3: Cross multiply
    19,516x = 26,924.73 × 12,805.33
  4. Step 4: Simplify right side
    19,516x = 344,780,052.81
  5. Step 5: Solve for x
    x = 344,780,052.81/19,516
  6. Step 6: Final answer
    x = 17,666.53

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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.