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Finding the Fourth Proportional to 16,497.48, 24,728.94 and 7,725

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Solution

The fourth proportional to 16,497.48, 24,728.94 and 7,725 is: 11,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.48 : 24,728.94 = 7,725 : x
  2. Step 2: Convert to fraction form
    16,497.48/24,728.94 = 7,725/x
  3. Step 3: Cross multiply
    16,497.48x = 24,728.94 × 7,725
  4. Step 4: Simplify right side
    16,497.48x = 191,031,061.50
  5. Step 5: Solve for x
    x = 191,031,061.50/16,497.48
  6. Step 6: Final answer
    x = 11,579.41

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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.