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Finding the Fourth Proportional to 19,677.65, 27,154.85 and 10,725.23

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Solution

The fourth proportional to 19,677.65, 27,154.85 and 10,725.23 is: 14,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.65 : 27,154.85 = 10,725.23 : x
  2. Step 2: Convert to fraction form
    19,677.65/27,154.85 = 10,725.23/x
  3. Step 3: Cross multiply
    19,677.65x = 27,154.85 × 10,725.23
  4. Step 4: Simplify right side
    19,677.65x = 291,241,873.38
  5. Step 5: Solve for x
    x = 291,241,873.38/19,677.65
  6. Step 6: Final answer
    x = 14,800.64

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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.