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Finding the Fourth Proportional to 16,560, 22,852.80 and 9,936

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Solution

The fourth proportional to 16,560, 22,852.80 and 9,936 is: 13,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,560 : 22,852.80 = 9,936 : x
  2. Step 2: Convert to fraction form
    16,560/22,852.80 = 9,936/x
  3. Step 3: Cross multiply
    16,560x = 22,852.80 × 9,936
  4. Step 4: Simplify right side
    16,560x = 227,065,420.80
  5. Step 5: Solve for x
    x = 227,065,420.80/16,560
  6. Step 6: Final answer
    x = 13,711.68

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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.