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Finding the Fourth Proportional to 19,428.32, 26,809.98 and 10,930.80

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Solution

The fourth proportional to 19,428.32, 26,809.98 and 10,930.80 is: 15,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428.32 : 26,809.98 = 10,930.80 : x
  2. Step 2: Convert to fraction form
    19,428.32/26,809.98 = 10,930.80/x
  3. Step 3: Cross multiply
    19,428.32x = 26,809.98 × 10,930.80
  4. Step 4: Simplify right side
    19,428.32x = 293,054,529.38
  5. Step 5: Solve for x
    x = 293,054,529.38/19,428.32
  6. Step 6: Final answer
    x = 15,083.89

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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.