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Finding the Fourth Proportional to 19,877.65, 27,431.66 and 10,925.38

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Solution

The fourth proportional to 19,877.65, 27,431.66 and 10,925.38 is: 15,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.65 : 27,431.66 = 10,925.38 : x
  2. Step 2: Convert to fraction form
    19,877.65/27,431.66 = 10,925.38/x
  3. Step 3: Cross multiply
    19,877.65x = 27,431.66 × 10,925.38
  4. Step 4: Simplify right side
    19,877.65x = 299,701,309.53
  5. Step 5: Solve for x
    x = 299,701,309.53/19,877.65
  6. Step 6: Final answer
    x = 15,077.30

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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.