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Finding the Fourth Proportional to 16,539.76, 22,824.12 and 9,825.68

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Solution

The fourth proportional to 16,539.76, 22,824.12 and 9,825.68 is: 13,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.76 : 22,824.12 = 9,825.68 : x
  2. Step 2: Convert to fraction form
    16,539.76/22,824.12 = 9,825.68/x
  3. Step 3: Cross multiply
    16,539.76x = 22,824.12 × 9,825.68
  4. Step 4: Simplify right side
    16,539.76x = 224,262,499.40
  5. Step 5: Solve for x
    x = 224,262,499.40/16,539.76
  6. Step 6: Final answer
    x = 13,558.99

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1.5x scale

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.