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Finding the Fourth Proportional to 25,709.49, 35,479.00 and 14,378.94

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Solution

The fourth proportional to 25,709.49, 35,479.00 and 14,378.94 is: 19,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.49 : 35,479.00 = 14,378.94 : x
  2. Step 2: Convert to fraction form
    25,709.49/35,479.00 = 14,378.94/x
  3. Step 3: Cross multiply
    25,709.49x = 35,479.00 × 14,378.94
  4. Step 4: Simplify right side
    25,709.49x = 510,150,349.35
  5. Step 5: Solve for x
    x = 510,150,349.35/25,709.49
  6. Step 6: Final answer
    x = 19,842.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.