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Finding the Fourth Proportional to 25,709.38, 35,478.70 and 14,378.75

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Solution

The fourth proportional to 25,709.38, 35,478.70 and 14,378.75 is: 19,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.38 : 35,478.70 = 14,378.75 : x
  2. Step 2: Convert to fraction form
    25,709.38/35,478.70 = 14,378.75/x
  3. Step 3: Cross multiply
    25,709.38x = 35,478.70 × 14,378.75
  4. Step 4: Simplify right side
    25,709.38x = 510,139,357.63
  5. Step 5: Solve for x
    x = 510,139,357.63/25,709.38
  6. Step 6: Final answer
    x = 19,842.54

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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.