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Finding the Fourth Proportional to 25,805.67, 38,642.90 and 17,013.93

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Solution

The fourth proportional to 25,805.67, 38,642.90 and 17,013.93 is: 25,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.67 : 38,642.90 = 17,013.93 : x
  2. Step 2: Convert to fraction form
    25,805.67/38,642.90 = 17,013.93/x
  3. Step 3: Cross multiply
    25,805.67x = 38,642.90 × 17,013.93
  4. Step 4: Simplify right side
    25,805.67x = 657,467,510.53
  5. Step 5: Solve for x
    x = 657,467,510.53/25,805.67
  6. Step 6: Final answer
    x = 25,477.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.