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Finding the Fourth Proportional to 24,506.04, 36,738.30 and 9,725.40

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Solution

The fourth proportional to 24,506.04, 36,738.30 and 9,725.40 is: 14,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.04 : 36,738.30 = 9,725.40 : x
  2. Step 2: Convert to fraction form
    24,506.04/36,738.30 = 9,725.40/x
  3. Step 3: Cross multiply
    24,506.04x = 36,738.30 × 9,725.40
  4. Step 4: Simplify right side
    24,506.04x = 357,294,662.82
  5. Step 5: Solve for x
    x = 357,294,662.82/24,506.04
  6. Step 6: Final answer
    x = 14,579.86

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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.