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Finding the Fourth Proportional to 25,907.38, 35,752.18 and 14,729.38

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Solution

The fourth proportional to 25,907.38, 35,752.18 and 14,729.38 is: 20,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,907.38 : 35,752.18 = 14,729.38 : x
  2. Step 2: Convert to fraction form
    25,907.38/35,752.18 = 14,729.38/x
  3. Step 3: Cross multiply
    25,907.38x = 35,752.18 × 14,729.38
  4. Step 4: Simplify right side
    25,907.38x = 526,607,266.29
  5. Step 5: Solve for x
    x = 526,607,266.29/25,907.38
  6. Step 6: Final answer
    x = 20,326.54

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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.