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Finding the Fourth Proportional to 25,672.65, 35,428.19 and 14,494.65

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Solution

The fourth proportional to 25,672.65, 35,428.19 and 14,494.65 is: 20,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.65 : 35,428.19 = 14,494.65 : x
  2. Step 2: Convert to fraction form
    25,672.65/35,428.19 = 14,494.65/x
  3. Step 3: Cross multiply
    25,672.65x = 35,428.19 × 14,494.65
  4. Step 4: Simplify right side
    25,672.65x = 513,519,141.71
  5. Step 5: Solve for x
    x = 513,519,141.71/25,672.65
  6. Step 6: Final answer
    x = 20,002.58

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1.5x scale

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.