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Finding the Fourth Proportional to 27,482.63, 37,926.23 and 14,907.38

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Solution

The fourth proportional to 27,482.63, 37,926.23 and 14,907.38 is: 20,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482.63 : 37,926.23 = 14,907.38 : x
  2. Step 2: Convert to fraction form
    27,482.63/37,926.23 = 14,907.38/x
  3. Step 3: Cross multiply
    27,482.63x = 37,926.23 × 14,907.38
  4. Step 4: Simplify right side
    27,482.63x = 565,380,458.41
  5. Step 5: Solve for x
    x = 565,380,458.41/27,482.63
  6. Step 6: Final answer
    x = 20,572.29

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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.