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Finding the Fourth Proportional to 19,105.14, 26,364.75 and 10,607.28

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Solution

The fourth proportional to 19,105.14, 26,364.75 and 10,607.28 is: 14,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105.14 : 26,364.75 = 10,607.28 : x
  2. Step 2: Convert to fraction form
    19,105.14/26,364.75 = 10,607.28/x
  3. Step 3: Cross multiply
    19,105.14x = 26,364.75 × 10,607.28
  4. Step 4: Simplify right side
    19,105.14x = 279,658,285.38
  5. Step 5: Solve for x
    x = 279,658,285.38/19,105.14
  6. Step 6: Final answer
    x = 14,637.86

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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.