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Finding the Fourth Proportional to 25,672.36, 38,506 and 12,533.80

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Solution

The fourth proportional to 25,672.36, 38,506 and 12,533.80 is: 18,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.36 : 38,506 = 12,533.80 : x
  2. Step 2: Convert to fraction form
    25,672.36/38,506 = 12,533.80/x
  3. Step 3: Cross multiply
    25,672.36x = 38,506 × 12,533.80
  4. Step 4: Simplify right side
    25,672.36x = 482,626,502.80
  5. Step 5: Solve for x
    x = 482,626,502.80/25,672.36
  6. Step 6: Final answer
    x = 18,799.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.