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Finding the Fourth Proportional to 19,875.65, 27,428.90 and 10,923.38

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Solution

The fourth proportional to 19,875.65, 27,428.90 and 10,923.38 is: 15,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.65 : 27,428.90 = 10,923.38 : x
  2. Step 2: Convert to fraction form
    19,875.65/27,428.90 = 10,923.38/x
  3. Step 3: Cross multiply
    19,875.65x = 27,428.90 × 10,923.38
  4. Step 4: Simplify right side
    19,875.65x = 299,616,105.92
  5. Step 5: Solve for x
    x = 299,616,105.92/19,875.65
  6. Step 6: Final answer
    x = 15,074.53

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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.