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Finding the Fourth Proportional to 19,507.38, 26,922.66 and 12,798.68

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Solution

The fourth proportional to 19,507.38, 26,922.66 and 12,798.68 is: 17,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.38 : 26,922.66 = 12,798.68 : x
  2. Step 2: Convert to fraction form
    19,507.38/26,922.66 = 12,798.68/x
  3. Step 3: Cross multiply
    19,507.38x = 26,922.66 × 12,798.68
  4. Step 4: Simplify right side
    19,507.38x = 344,574,510.09
  5. Step 5: Solve for x
    x = 344,574,510.09/19,507.38
  6. Step 6: Final answer
    x = 17,663.80

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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.