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Finding the Fourth Proportional to 25,497.63, 38,245.23 and 9,706.29

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Solution

The fourth proportional to 25,497.63, 38,245.23 and 9,706.29 is: 14,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.63 : 38,245.23 = 9,706.29 : x
  2. Step 2: Convert to fraction form
    25,497.63/38,245.23 = 9,706.29/x
  3. Step 3: Cross multiply
    25,497.63x = 38,245.23 × 9,706.29
  4. Step 4: Simplify right side
    25,497.63x = 371,219,293.50
  5. Step 5: Solve for x
    x = 371,219,293.50/25,497.63
  6. Step 6: Final answer
    x = 14,558.97

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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.